Soft Supersymmetry Breaking Terms in String Compactifications
|
|
- Charleen Murphy
- 6 years ago
- Views:
Transcription
1 Soft Supersymmetry Breaking Terms in String Compactifications Joseph P. Conlon DAMTP, Cambridge University Soft Supersymmetry Breaking Terms in String Compactifications p. 1/4
2 This talk is based on hep-th/ (JC, D.Cremades, F. Quevedo) hep-th/ (JC, S. Abdussalam, F. Quevedo, K. Suruliz) hep-ph/061xxxx (JC, D. Cremades) and also uses results from hep-th/ (V. Balasubramanian, P. Berglund, JC, F. Quevedo) hep-th/ (JC, F. Quevedo, K. Suruliz) Soft Supersymmetry Breaking Terms in String Compactifications p. 2/4
3 Talk Structure Motivation Introduction and Review of Supersymmetry Breaking Computing Matter Metrics from Yukawa Couplings Results for Particular Models Applications: Soft Terms and Neutrino Masses Conclusions Soft Supersymmetry Breaking Terms in String Compactifications p. 3/4
4 Motivation! Soft Supersymmetry Breaking Terms in String Compactifications p. 4/4
5 Motivation The LHC! This will probe TeV-scale physics in unprecedented detail. If supersymmetry exists, it will (probably) be discovered at the LHC. Low-energy supersymmetry represents one of the best possibilities for connecting string theory (or any high-scale theory) to data. Understanding supersymmetry breaking and predicting the pattern of superpartners is one of the most important tasks of string phenomenology. Soft Supersymmetry Breaking Terms in String Compactifications p. 5/4
6 MSSM Basics The MSSM is specified by its matter content (that of the supersymmetric Standard Model) plus soft breaking terms. These are Soft scalar masses, m 2 i φ2 i Gaugino masses, M a λ a λ a, Trilinear scalar A-terms, A αβγ φ α φ β φ γ B-terms, BH 1 H 2. It is these soft terms that we want to compute from string compactifications. Soft Supersymmetry Breaking Terms in String Compactifications p. 6/4
7 MSSM Basics The soft terms break supersymmetry explicitly, but do not reintroduce quadratic divergences into the Lagrangian. The LHC will (hopefully) give experimental information about the soft breaking terms and the sparticle spectrum. Our task as theorists is to beat the experimentalists to this spectrum! Soft Supersymmetry Breaking Terms in String Compactifications p. 7/4
8 SUSY Breaking basics The soft terms are generated by the mechanism of supersymmetry breaking and how this is transmitted to the observable sector. Examples are Gravity mediation - hidden sector supersymmetry breaking Gauge mediation - visible sector supersymmetry breaking Anomaly mediaton - susy breaking through loop effects These all have characteristic features and scales. Generally, M soft = M2 susy breaking M transmission. Soft Supersymmetry Breaking Terms in String Compactifications p. 8/4
9 SUSY Breaking basics In this talk I will focus on gravity mediation. This arises naturally in string compactifications, where the hidden sector can be identified with the compactification moduli. The formalism for computing soft terms is also well established. Soft Supersymmetry Breaking Terms in String Compactifications p. 9/4
10 Gravity Mediation I In gravity-mediation, supersymmetry is Soft Supersymmetry Breaking Terms in String Compactifications p. 10/4
11 Gravity Mediation I In gravity-mediation, supersymmetry is broken in a hidden sector Soft Supersymmetry Breaking Terms in String Compactifications p. 10/4
12 Gravity Mediation I In gravity-mediation, supersymmetry is broken in a hidden sector communicated to the observable sector through non-renormalisable supergravity contact interactions Soft Supersymmetry Breaking Terms in String Compactifications p. 10/4
13 Gravity Mediation I In gravity-mediation, supersymmetry is broken in a hidden sector communicated to the observable sector through non-renormalisable supergravity contact interactions which are suppressed by M P. Soft Supersymmetry Breaking Terms in String Compactifications p. 10/4
14 Gravity Mediation I In gravity-mediation, supersymmetry is broken in a hidden sector communicated to the observable sector through non-renormalisable supergravity contact interactions which are suppressed by M P. Naively, m susy F 2 M P This requires F GeV for TeV-scale soft terms. Soft Supersymmetry Breaking Terms in String Compactifications p. 10/4
15 Gravity Mediation II The computation of soft terms starts by expanding the supergravity K and W in terms of the matter fields C α, W = Ŵ(Φ) + µ(φ)h 1H Y αβγ(φ)c α C β C γ +..., K = ˆK(Φ, Φ) + K α β(φ, Φ)C α C β + [ZH 1 H 2 + h.c.] +..., f a = f a (Φ). Given this expansion, the computation of the physical soft terms is straightforward. The function K α β(φ) is crucial in computing soft terms, as it determines the normalisation of the matter fields. Soft Supersymmetry Breaking Terms in String Compactifications p. 11/4
16 Gravity Mediation III Soft scalar masses m 2 i j and trilinears A αβγ are given by m 2 α β = (m 2 3/2 + V 0) K α β F m F n ( m n Kα β ( m Kα γ ) K γδ ( n Kδ β) ) A αβγ = e ˆK/2 F m[ ˆKm Y αβγ + m Y αβγ ( ( m Kα ρ ) K ) ] ρδ Y δβγ + (α β) + (α γ). Any physical prediction for the soft terms requires a knowledge of K α β for chiral matter fields. However, K α β is non-holomorphic and thus hard to compute. Soft Supersymmetry Breaking Terms in String Compactifications p. 12/4
17 Gravity Mediation IV To compute soft terms in string compactifications, one must Note, choose a particular string compactification. compute the moduli potential and determine a susy-breaking minimum. evaluate the moduli F-terms at this minimum. use the expansions of K and W to compute the soft terms. Any physical prediction for the soft terms requires a knowledge of K α β for chiral matter fields. Soft Supersymmetry Breaking Terms in String Compactifications p. 13/4
18 Gravity Mediation V In principle this can be done for all types of string compactification - heterotic, type II, M-theory. I focus on type IIB compactifications with D3 and D7 branes. These are well-studied with regard to the generation of moduli potentials. I will mainly discuss techniques to compute the Kähler potential for bifundamental matter fields. Soft Supersymmetry Breaking Terms in String Compactifications p. 14/4
19 What is known? In Calabi-Yau backgrounds, the Kähler metrics for (non-chiral) D3 and D7 position moduli and D7 Wilson line moduli have been computed by dimensional reduction. K D7 1 S + S K D3 1 T + T Using explicit string scattering computations, matter metrics for bifundamental D7/D7 matter have been computed in IIB toroidal backgrounds. K D7i D7 j 1 Tk + T k Soft Supersymmetry Breaking Terms in String Compactifications p. 15/4
20 This talk I will describe new techniques for computing the matter metric K α β for chiral matter fields on a Calabi-Yau. These techniques will apply to chiral bifundamental D7/D7 matter in IIB compactifications. I will compute the modular dependence of the matter metrics from the modular dependence of the (physical) Yukawa couplings. I start by reviewing how Yukawa couplings arise in supergravity. Soft Supersymmetry Breaking Terms in String Compactifications p. 16/4
21 Yukawa Couplings in Supergravity In supergravity, the Yukawa couplings arise from the Lagrangian terms (Wess & Bagger) L kin + L yukawa = K α µ C α µ Cᾱ + e ˆK/2 β γ W ψ β ψ γ = K α µ C α µ Cᾱ + e ˆK/2 Y αβγ C α ψ β ψ γ (This assumes diagonal matter metrics, but we can relax this) The matter fields are not canonically normalised. The physical Yukawa couplings are given by Y αβγ Ŷ αβγ = e ˆK/2 ( K α Kβ Kγ ) 1 2. Soft Supersymmetry Breaking Terms in String Compactifications p. 17/4
22 Computing K α β (I) Y αβγ Ŷ αβγ = e ˆK/2 ( K α Kβ Kγ ) 1 2. We know the modular dependence of ˆK: ( ) ˆK = 2 ln(v) ln i Ω Ω ln(s + S) We compute the modular dependence of K α from the modular dependence of Ŷαβγ. We work in a power series expansion and determine the leading power λ, K α (T + T) λ k α (φ) + (T + T) λ 1 k α(φ) +... λ is the modular weight of the field T. Soft Supersymmetry Breaking Terms in String Compactifications p. 18/4
23 Computing K α β (II) Y αβγ Ŷ αβγ = e ˆK/2 ( K α Kβ Kγ ) 1 2. We are unable to compute Y αβγ. If Y αβγ depends on a modulus T, knowledge of Ŷαβγ gives no information about the dependence K α β(t). Our results will be restricted to those moduli that do not appear in the superpotential. The main example will be the T -moduli (Kähler moduli) in IIB compactifications. In perturbation theory, Ti Y αβγ 0. Soft Supersymmetry Breaking Terms in String Compactifications p. 19/4
24 Computing K α β (III) Y αβγ Ŷ αβγ = e ˆK/2 ( K α Kβ Kγ ) 1 2. We know ˆK(T). If we can compute Ŷαβγ(T), we can then deduce K α (T). Computing Ŷαβγ(T) is not as hard as it sounds! In IIB compactifications, this can be carried out through wavefunction overlap. We now describe the computation of Ŷαβγ for bifundamental matter on a stack of magnetised D7-branes. Soft Supersymmetry Breaking Terms in String Compactifications p. 20/4
25 The brane geometry We consider a stack of (magnetised) branes all wrapping an identical cycle. If the branes are magnetised, bifundamental fermions can stretch between differently magnetised branes. This is a typical geometry in branes at singularities models. Soft Supersymmetry Breaking Terms in String Compactifications p. 21/4
26 The brane geometry BULK BLOW UP Stack 1 Stack 2 Stack 3 Stack 4 Soft Supersymmetry Breaking Terms in String Compactifications p. 22/4
27 Computing Ŷαβγ We use a simple computational technique: Physical Yukawa couplings are determined by the triple overlap of normalised wavefunctions. These wavefunctions can be computed (in principle) by dimensional reduction of the brane action. Soft Supersymmetry Breaking Terms in String Compactifications p. 23/4
28 Dimensional reduction Consider a stack of D7 branes wrapping a 4-cycle Σ in a Calabi-Yau X. The low-energy limit of the DBI action reduces to super Yang-Mills, S SY M = d n x g ( F µν F µν + λγ i (A i + i )λ ) M 4 Σ Magnetic flux on the brane gives bifundamnetal fermions ψ α in the low energy spectrum. These fermions come from dimensional reduction of the gaugino λ i. They are counted topologically by the number of solutions of the Dirac equation Γ i D i ψ = 0. Soft Supersymmetry Breaking Terms in String Compactifications p. 24/4
29 Comments The full action to be reduced is the DBI action rather than that of Super Yang-Mills. In the limit of large cycle volume, magnetic fluxes are diluted in the cycle, and the DBI action reduces to that of super Yang-Mills. Our results will hold within this large cycle volume, dilute flux approximation. Soft Supersymmetry Breaking Terms in String Compactifications p. 25/4
30 Computing the physical Yukawas Ŷαβγ Consider the higher-dimensional term L d n x g λγ i (A i + i )λ M 4 Σ Dimensional reduction of this gives the kinetic terms and the Yukawa couplings ψ ψ ψφψ The physical Yukawa couplings are set by the combination of the above! Soft Supersymmetry Breaking Terms in String Compactifications p. 26/4
31 Kinetic Terms L M 4 Σ d n x g λγ i (A i + i )λ Dimensional reduction gives λ = ψ 4 ψ 6, A i = φ 4 φ 6. and the reduced kinetic terms are ( ) Σ ψ 6 ψ 6 M 4 ψ4 Γ µ (A µ + µ )ψ 4 Canonically normalised kinetic terms require ψ 6 ψ 6 = 1. Σ Soft Supersymmetry Breaking Terms in String Compactifications p. 27/4
32 Yukawa Couplings L M 4 Σ d n x λγ i (A i + i )λ Dimensional reduction gives the four-dimensional interaction ( ) ψ 6 Γ I φ I,6 ψ 6 d M 4 xφ 4 ψ4 ψ 4. 4 Σ The physical Yukawa couplings are determined by the (normalised) overlap integral ( ) Ŷ αβγ = ψ 6 Γ I φ I,6 ψ 6. Σ Soft Supersymmetry Breaking Terms in String Compactifications p. 28/4
33 The Result Σ ψ 6 ψ 6 = 1, Ŷ αβγ = ( Σ ψ 6 Γ I φ I,6 ψ 6 ). For canonical kinetic terms, ψ 6 (y) 1 Vol(Σ), Γ I φ I,6 1 Vol(Σ), and so Ŷ αβγ Vol(Σ) 1 Vol(Σ) 1 Vol(Σ) 1 Vol(Σ) 1 Vol(Σ) This gives the scaling of Ŷαβγ(T). Soft Supersymmetry Breaking Terms in String Compactifications p. 29/4
34 Comments Q. Under the cycle rescaling, why should ψ(y) scale simply as ψ(y) ψ(y)? Re(T) A. The T -moduli do not appear in Y αβγ and do not see flavour. Any more complicated behaviour would alter the form of the triple overlap integral and Y αβγ - but this would require altering the complex structure moduli. The result for the scaling of Ŷαβγ holds in the classical limit of large cycle volume. Soft Supersymmetry Breaking Terms in String Compactifications p. 30/4
35 Application: One-modulus KKLT We can now compute K α (T). In a 1-modulus KKLT model, all chiral matter is supported on D7 branes wrapping the single 4-cycle T. From above, Y αβγ Ŷ αβγ = e ˆK/2 ( K α Kβ Kγ ) T + T We know the moduli Kähler potential, ˆK = 3 ln(t + T) and so the matter Kähler potential must scale as K α 1 (T + T) 2/3. Soft Supersymmetry Breaking Terms in String Compactifications p. 31/4
36 Application: Large-Volume Models BULK BLOW UP U(2) Q L e L U(3) U(1) Q R U(1) e R Soft Supersymmetry Breaking Terms in String Compactifications p. 32/4
37 Application: Large-Volume Models These arise in IIB flux compactifications once α corrections are included. They require 2 Kähler moduli, one big and one small. The α and non-perturbative corrections compete and determine the structure of the scalar potential. The name is because the overall volume is very large, V l 6 s, with small cycles τ s 10l 4 s. Soft Supersymmetry Breaking Terms in String Compactifications p. 33/4
38 Application: Large-Volume Models For the simplest model P 4 [1,1,1,6,9], the Kähler potential is ( ˆK = 2 ln V = 2 ln (T b + T b ) 3/2 (T s + T s ) 3/2). We can interpret the T s cycle as a local, blow-up cycle. We want K α (T) for chiral matter on branes wrapping this cycle. The gauge theory supported on a brane wrapping T s is determined by local geometry. Soft Supersymmetry Breaking Terms in String Compactifications p. 34/4
39 Application: Large-Volume Models The physical Yukawa coupling Y αβγ Ŷ αβγ = e ˆK/2 ( K α Kβ Kγ ) 1 2 is local and thus independent of V. As ˆK = 2 ln V, we can deduce simply from locality that K α 1 V 2/3. As this is for a Calabi-Yau background, this is already non-trivial! Soft Supersymmetry Breaking Terms in String Compactifications p. 35/4
40 Application: Large-Volume Models We can go further. With all branes wrapping the same 4-cycle, Y αβγ Ŷ αβγ = e ˆK/2 ( K α Kβ Kγ ) τs. We can then deduce that K α τ1/3 s V 2/3. We also have the dependence on τ s! Soft Supersymmetry Breaking Terms in String Compactifications p. 36/4
41 Application: Large-Volume Models The dependence K α 1 V 2/3 follows purely from the requirement that physical Yukawa couplings are local. The dependence on τ s, K α τ1/3 s V 2/3 follows from the specific brane configuration (all D7 branes wrapping the same small cycle). Soft Supersymmetry Breaking Terms in String Compactifications p. 37/4
42 Application: Large-Volume Models If we wrap branes on the large cycle, as for the one-modulus KKLT model we find K 1 (T b + T b ) 2/3. All the above results hold for both diagonal and non-diagonal matter metrics. The reason is that the T moduli do not see flavour, and so the T -dependence is flavour-universal. Soft Supersymmetry Breaking Terms in String Compactifications p. 38/4
43 Soft Terms We can use the above matter metric to compute the soft terms for the large-volume models. We get M i = F s 2τ s M, m α β = M 3 Kα β, A αβγ = M Ŷαβγ, B = 4M 3. Soft Supersymmetry Breaking Terms in String Compactifications p. 39/4
44 Soft Terms These soft terms are the same as in the dilaton-dominated heterotic scenario. They are also flavour-universal. This is surprising - there is a naive expectation that gravity mediation will give non-universal soft terms. Why? Flavour physics is Planck-scale physics, and in gravity mediation supersymmetry breaking is also Planck-scale physics. Naively, we expect the susy-breaking sector to see flavour and thus give non-universal soft terms. Soft Supersymmetry Breaking Terms in String Compactifications p. 40/4
45 Soft Terms: Flavour Universality These expectations are EFT expectations In string theory, we have Kähler (T ) and complex structure (U) moduli. These are decoupled at leading order. ( ) K = 2 ln (V(T)) ln i Ω Ω(U) ln(s + S). Here, U sources flavour and T breaks supersymmetry. At leading order, susy-breaking and flavour decouple. The origin of universality is the decoupling of Kähler and complex structure moduli. Soft Supersymmetry Breaking Terms in String Compactifications p. 41/4
46 Soft Terms: Phenomenology We run the soft terms to low energy using SoftSUSY and study the spectrum. The constraints are given by tan β GeV 3.2x x10-4 δµ b->sγ m h Ω h 2 LSP type allowed A B 1.8x M/GeV Soft Supersymmetry Breaking Terms in String Compactifications p. 42/4
47 Soft Terms: Phenomenology Spectrum: Soft Supersymmetry Breaking Terms in String Compactifications p. 43/4
48 Neutrino Masses The theoretical origin of neutrino masses is a mystery. Experimentally 0.05eV m H ν 0.3eV. This corresponds to a Majorana mass scale M νr GeV. Equivalently, this is the suppression scale Λ of the dimension five Standard Model operator O = 1 Λ HHLL. Soft Supersymmetry Breaking Terms in String Compactifications p. 44/4
49 Neutrino Masses In the supergravity MSSM, consider the superpotential operator λ M P H 2 H 2 LL W, where λ is dimensionless. This corresponds to the physical coupling e ˆK/2 λ M P H 2 H 2 LL ( K H2 KH2 KL KL ) 1 2. Once the Higgs receives a vev, this generates neutrino masses. Soft Supersymmetry Breaking Terms in String Compactifications p. 45/4
50 Neutrino Masses Using the large-volume result K α τ1/3 s, this becomes V 2/3 λv 1/3 τs 2/3 H 2 H 2 LL. M P Use V (to get m 3/2 1TeV) and τ s 10: λ GeV H 2H 2 LL With H 2 = v 2 = 174GeV, this gives m ν = λ(0.3 ev). Soft Supersymmetry Breaking Terms in String Compactifications p. 46/4
51 Large Volumes are Powerful In large-volume models, an exponentially large volume appears naturally (V e c gs ). A volume V l 6 s, required for TeV-scale supersymmetry, automatically gives the correct scale for neutrino masses. This same volume also gives an axion decay constant in the allowed window (JC, hep-th/ ), 10 9 GeV f a GeV. This yoking of three distinct scales is very attractive. The origin of all three hierarchies is the exponentially large volume. Soft Supersymmetry Breaking Terms in String Compactifications p. 47/4
52 Conclusions Kähler metrics for bifundamental matter enter crucially in the computation of MSSM soft terms. I have described techniques to compute these in IIB Calabi-Yau string compactifications. We computed the modular weights both for one-modulus KKLT models and for the multi-modulus large-volume models. The soft terms are flavour-universal, which comes from the decoupling of Kähler and complex structure moduli. For the large-volume models, TeV-scale supersymmetry naturally gives the correct scale for neutrino masses. Soft Supersymmetry Breaking Terms in String Compactifications p. 48/4
53 Soft Supersymmetry Breaking Terms in String Compactifications p. 49/4
Kähler Potentials for Chiral Matter in Calabi-Yau String Compactifications
Kähler Potentials for Chiral Matter in Calabi-Yau String Compactifications Joseph P. Conlon DAMTP, Cambridge University Kähler Potentials for Chiral Matter in Calabi-Yau String Compactifications p. 1/4
More informationKähler Potentials for Chiral Matter in Calabi-Yau String Compactifications
Kähler Potentials for Chiral Matter in Calabi-Yau String Compactifications Joseph P. Conlon DAMTP, Cambridge University Kähler Potentials for Chiral Matter in Calabi-Yau String Compactifications p. 1/4
More informationKähler Potentials for Chiral Matter in Calabi-Yau String Compactifications
Kähler Potentials for Chiral Matter in Calabi-Yau String Compactifications Joseph P. Conlon DAMTP, Cambridge University Kähler Potentials for Chiral Matter in Calabi-Yau String Compactifications p. 1/3
More informationHierarchy Problems in String Theory: An Overview of the Large Volume Scenario
Hierarchy Problems in String Theory: An Overview of the Large Volume Scenario Joseph P. Conlon (Cavendish Laboratory & DAMTP, Cambridge) Stockholm, February 2008 Hierarchy Problems in String Theory: An
More informationStrings, SUSY and LHC
Strings, SUSY and LHC Joseph P. Conlon (Cavendish Laboratory and DAMTP, Cambridge) fpuk, November 2007 Strings, SUSY and LHC p. 1/4 The LHC What is the LHC? The greatest experiment on earth! Strings, SUSY
More informationPhenomenological Aspects of LARGE Volume Models
Phenomenological Aspects of LARGE Volume Models Joseph P. Conlon (Cavendish Laboratory & DAMTP, Cambridge) 15th Irish Quantum Field Theory Meeting May(nooth) 2008 Phenomenological Aspects of LARGE Volume
More informationThe LARGE Volume Scenario: a status report
Stockholm, June 6th 2011 Talk Structure Moduli Stabilisation and Scales Variations The LARGE Volume Scenario The LARGE Volume Scenario (LVS) comes from considering alpha corrections to IIB flux compactifications.
More informationarxiv: v3 [hep-ph] 16 Jun 2007
Preprint typeset in JHEP style - HYPER VERSION DAMTP-27-33 arxiv:74.343v3 [hep-ph] 6 Jun 27 Sparticle Spectra and LHC Signatures for Large Volume String Compactifications J. P. Conlon, C. H. Kom, K. Suruliz,
More informationGauge Threshold Corrections for Local String Models
Gauge Threshold Corrections for Local String Models Stockholm, November 16, 2009 Based on arxiv:0901.4350 (JC), 0906.3297 (JC, Palti) Local vs Global There are many different proposals to realise Standard
More informationof Local Moduli in Local Models
Scattering, Sequestering and Sort-Of Sequestering of Local Moduli in Local Models String Pheno, Madison, August 22nd 2011, Based on arxiv:1109.xxxx JC, L. Witkowski Acknowledgements Talk is based on arxiv:1109.xxxx
More informationHigh Scale Inflation with Low Scale Susy Breaking
High Scale Inflation with Low Scale Susy Breaking Joseph P. Conlon (DAMTP, Cambridge) Nottingham University, September 2007 High Scale Inflation with Low Scale Susy Breaking p. 1/3 Two paradigms: inflation...
More informationStrings and Phenomenology: Chalk and Cheese?
Strings and Phenomenology: Chalk and Cheese? Joseph P. Conlon Particle Physics Seminar, January 2009 Strings and Phenomenology: Chalk and Cheese? p. 1/3 Thanks to my collaborators: Shehu Abdussalam, Ben
More informationGravitino Dark Matter in D3/D7 µ-split supersymmetry
Gravitino Dark Matter in D3/D7 µ-split supersymmetry Department of Physics, Indian Institute of Technology Roorkee, INDIA Based on: Nucl.Phys. B 867 (013) 636 (with Aalok Misra), Nucl.Phys. B 855 (01)
More informationPhenomenological Aspects of Local String Models
Phenomenological Aspects of Local String Models F. Quevedo, Cambridge/ICTP. PASCOS-2011, Cambridge. M. Dolan, S. Krippendorf, FQ; arxiv:1106.6039 S. Krippendorf, M. Dolan, A. Maharana, FQ; arxiv:1002.1790
More informationString Compactifications and low-energy SUSY: The last attempts?
String Compactifications and low-energy SUSY: The last attempts? F. Quevedo, ICTP/Cambridge Strings 2015, Bangalore, June 2015 Collaborations with (linear combinations of): L. Aparicio, M. Cicoli, B Dutta,
More informationModuli-induced axion problem
Moduli-induced axion problem Kazunori Nakayama (University of Tokyo) T.Higaki, KN, F.Takahashi, JHEP1307,005 (2013) [1304.7987] SUSY2013 @ ICTP, Trieste, Italy (2013/8/26) What we have shown : Kahler
More informationString Phenomenology ???
String Phenomenology Andre Lukas Oxford, Theoretical Physics d=11 SUGRA IIB M IIA??? I E x E 8 8 SO(32) Outline A (very) basic introduction to string theory String theory and the real world? Recent work
More informationVector Superfields. A Vector superfield obeys the constraint:
Lecture 5 A Vector superfield obeys the constraint: Vector Superfields Note: still more degrees of freedom than needed for a vector boson. Some not physical! Remember Vector bosons appears in gauge theories!
More informationHeterotic Supersymmetry
Heterotic Supersymmetry Hans Peter Nilles Physikalisches Institut Universität Bonn Heterotic Supersymmetry, Planck2012, Warsaw, May 2012 p. 1/35 Messages from the heterotic string Localization properties
More informationStrings and Particle Physics
Strings and Particle Physics Hans Peter Nilles Physikalisches Institut Universität Bonn Germany Strings and Particle Physics, SUSY07 p.1/33 Questions What can we learn from strings for particle physics?
More informationCrosschecks for Unification
Crosschecks for Unification Hans Peter Nilles Physikalisches Institut Universität Bonn Crosschecks for Unification, Planck09, Padova, May 2009 p. 1/39 Questions Do present observations give us hints for
More informationAlternatives to the GUT Seesaw
Alternatives to the GUT Seesaw Motivations Higher-dimensional operators String instantons Other (higher dimensions, Higgs triplets) Motivations Many mechanisms for small neutrino mass, both Majorana and
More informationPredictions from F-theory GUTs. (High vs. low-scale SUSY; proton decay)
Predictions from F-theory GUTs Arthur Hebecker (Heidelberg) (including some original work with James Unwin (Notre Dame)) Outline: Motivation (Why F-theory GUTs?) Proton decay Flavor; neutrino masses Gauge
More informationStringy Corrections, SUSY Breaking and the Stabilization of (all) Kähler moduli
Stringy Corrections, SUSY Breaking and the Stabilization of (all) Kähler moduli Per Berglund University of New Hampshire Based on arxiv: 1012:xxxx with Balasubramanian and hep-th/040854 Balasubramanian,
More informationD-term Dynamical SUSY Breaking. Nobuhito Maru (Keio University)
D-term Dynamical SUSY Breaking Nobuhito Maru (Keio University) with H. Itoyama (Osaka City University) Int. J. Mod. Phys. A27 (2012) 1250159 [arxiv: 1109.2276 [hep-ph]] 12/6/2012 SCGT2012@Nagoya University
More informationChiral matter wavefunctions in warped compactifications
Chiral matter wavefunctions in warped compactifications Paul McGuirk University of Wisconsin-Madison Based on: arxiv:0812.2247,1012.2759 (F. Marchesano, PM, G. Shiu) Presented at: Cornell University, April
More informationSupersymmetry Breaking
Supersymmetry Breaking LHC Search of SUSY: Part II Kai Wang Phenomenology Institute Department of Physics University of Wisconsin Madison Collider Phemonology Gauge Hierarchy and Low Energy SUSY Gauge
More informationNeutrinos and Fundamental Symmetries: L, CP, and CP T
Neutrinos and Fundamental Symmetries: L, CP, and CP T Outstanding issues Lepton number (L) CP violation CP T violation Outstanding issues in neutrino intrinsic properties Scale of underlying physics? (string,
More informationINTRODUCTION motivation 5d supergravity models An important question in supersymmetric theories is how supersymmetry is broken in the low energy world
Peggy Kouroumalou Univ. of Athens, Greece The soft scalar sector of supergravity compactified on S 1 /Z 2 orbifolds G. Diamandis, V. Georgalas, P. Kouroumalou, A.B. Lahanas [hep-th: 011046] [hep-th: 042228]
More informationFlux Compactification and SUSY Phenomenology
Flux Compactification and SUSY Phenomenology Komaba07 On occasion of Prof. Yoneya s 60 th birthday Masahiro Yamaguchi Tohoku University Talk Plan Introduction : Flux compactification and KKLT set-up Naturalness
More informationInflation from supersymmetry breaking
Inflation from supersymmetry breaking I. Antoniadis Albert Einstein Center, University of Bern and LPTHE, Sorbonne Université, CNRS Paris I. Antoniadis (Athens Mar 018) 1 / 0 In memory of Ioannis Bakas
More informationTheory and phenomenology of hidden U(1)s from string compactifications
Theory and phenomenology of hidden U(1)s from string compactifications Andreas Ringwald DESY Corfu Summer Institute Workshop on Cosmology and Strings, Sept. 6-13, 2009, Corfu, GR Theory and phenomenology
More informationThe discrete beauty of local GUTs
The discrete beauty of local GUTs Hans Peter Nilles Physikalisches Institut Universität Bonn The discrete beauty of local grand unification, GUTs and Strings, MPI München, February 2010 p. 1/33 Outline
More informationAnomaly and gaugino mediation
Anomaly and gaugino mediation Supergravity mediation X is in the hidden sector, P l suppressed couplings SUSY breaking VEV W = ( W hid (X) + W vis ) (ψ) f = δj i ci j X X ψ j e V ψ 2 i +... Pl τ = θ Y
More informationD-brane instantons in Type II orientifolds
D-brane instantons in Type II orientifolds in collaboration with R. Blumenhagen, M. Cvetič, D. Lüst, R. Richter Timo Weigand Department of Physics and Astronomy, University of Pennsylvania Strings 2008
More informationChiral matter wavefunctions in warped compactifications
Chiral matter wavefunctions in warped compactifications Paul McGuirk University of Wisconsin-Madison In collaboration with: Fernando Marchesano and Gary Shiu arxiv:1011.xxxx and arxiv: 0812.2247 Presented
More informationLECTURE 2: Super theories
LECTURE 2: Super theories Carlos Muñoz Universidad Autónoma de Madrid & Instituto de Física Teórica UAM/CSIC ISAPP09-Como, July 8-16 Carlos Muñoz Super theories 2 ~0.00000001 Carlos Muñoz Super theories
More informationLight hidden U(1)s in LARGE volume string compactifications
Light hidden U(1)s in LARGE volume string compactifications Andreas Ringwald DESY Dark Forces Workshop Searches for New Forces at the GeV-Scale, Sept. 24-26, 2009, SLAC, CA, USA Light hidden U(1)s... 1
More informationDynamics of the Peccei-Quinn Scale
Talk at International Workshop on Particle Physics and Cosmology, Norman, Oklahoma 2009 Department of Physics University of California, Santa Cruz Work with L. Carpenter, G. Festuccia and L. Ubaldi. May,
More informationPHYSICS BEYOND SM AND LHC. (Corfu 2010)
PHYSICS BEYOND SM AND LHC (Corfu 2010) We all expect physics beyond SM Fantastic success of SM (LEP!) But it has its limits reflected by the following questions: What is the origin of electroweak symmetry
More informationModel Fitting in Particle Physics
Fits to Model Fitting in Particle Physics Matthew Dolan 1 1 DAMTP University of Cambridge High Throughput Computing in Science, 2008 Outline Fits to 1 2 3 Outline Fits to 1 2 3 Model Fits to Model of particle
More informationF-theory effective physics via M-theory. Thomas W. Grimm!! Max Planck Institute for Physics (Werner-Heisenberg-Institut)! Munich
F-theory effective physics via M-theory Thomas W. Grimm Max Planck Institute for Physics (Werner-Heisenberg-Institut) Munich Ahrenshoop conference, July 2014 1 Introduction In recent years there has been
More informationSUSY and Exotics. UK HEP Forum"From the Tevatron to the LHC, Cosener s House, May /05/2009 Steve King, UK HEP Forum '09, Abingdon 1
SUSY and Exotics Standard Model and the Origin of Mass Puzzles of Standard Model and Cosmology Bottom-up and top-down motivation Extra dimensions Supersymmetry - MSSM -NMSSM -E 6 SSM and its exotics UK
More informationarxiv: v2 [hep-th] 17 Oct 2018
Prepared for submission to JHEP De Sitter vs Quintessence in String Theory arxiv:1808.08967v2 [hep-th] 17 Oct 2018 Michele Cicoli, 1,2,3 Senarath de Alwis, 4 Anshuman Maharana, 5 Francesco Muia 3 and Fernando
More informationAxion-Like Particles from Strings. Andreas Ringwald (DESY)
Axion-Like Particles from Strings. Andreas Ringwald (DESY) Origin of Mass 2014, Odense, Denmark, May 19-22, 2014 Hints for intermediate scale axion-like particles > Number of astro and cosmo hints pointing
More informationThe Physics of Heavy Z-prime Gauge Bosons
The Physics of Heavy Z-prime Gauge Bosons Tevatron LHC LHC LC LC 15fb -1 100fb -1 14TeV 1ab -1 14TeV 0.5TeV 1ab -1 P - =0.8 P + =0.6 0.8TeV 1ab -1 P - =0.8 P + =0.6 χ ψ η LR SSM 0 2 4 6 8 10 12 2σ m Z'
More informationUpdates in the Finite N=1 SU(5) Model
Updates in the Finite N=1 SU(5) Model Gregory Patellis Physics Department, NTUA Sven Heinemeyer, Myriam Mondragon, Nicholas Tracas, George Zoupanos arxiv:1802.04666 March 31, 2018 Updates in the Finite
More informationSUSY Phenomenology & Experimental searches
SUSY Phenomenology & Experimental searches Slides available at: Alex Tapper http://www.hep.ph.ic.ac.uk/~tapper/lecture.html Objectives - Know what Supersymmetry (SUSY) is - Understand qualitatively the
More informationSupersymmetric Gauge Theories, Matrix Models and Geometric Transitions
Supersymmetric Gauge Theories, Matrix Models and Geometric Transitions Frank FERRARI Université Libre de Bruxelles and International Solvay Institutes XVth Oporto meeting on Geometry, Topology and Physics:
More informationGeneral Gauge Mediation Phenomenology
Pre-Strings 2011 @ NORDITA Stockholm May 30 th 2011 General Gauge Mediation Phenomenology Valya Khoze (IPPP Durham University) with Steve Abel, Matt Dolan, David Grellscheid, Joerg Jaeckel, Peter Richardson,
More informationBeyond the SM, Supersymmetry
Beyond the SM, 1/ 44 Beyond the SM, A. B. Lahanas University of Athens Nuclear and Particle Physics Section Athens - Greece Beyond the SM, 2/ 44 Outline 1 Introduction 2 Beyond the SM Grand Unified Theories
More informationString Phenomenology
String Phenomenology Hans Peter Nilles Physikalisches Institut Universität Bonn String Phenomenology, DESY, Hamburg, April 2012 p. 1/53 Strategy String models as a top-down approach to particle physics
More informationPhysics at e + e - Linear Colliders. 4. Supersymmetric particles. M. E. Peskin March, 2002
Physics at e + e - Linear Colliders 4. Supersymmetric particles M. E. Peskin March, 2002 In this final lecture, I would like to discuss supersymmetry at the LC. Supersymmetry is not a part of the Standard
More informationGeneralized N = 1 orientifold compactifications
Generalized N = 1 orientifold compactifications Thomas W. Grimm University of Wisconsin, Madison based on: [hep-th/0602241] Iman Benmachiche, TWG [hep-th/0507153] TWG Madison, Wisconsin, November 2006
More informationOpen Office (Linux) A String Manifesto. Marcus Berg CoPS. M.B., Haack, Pajer '07 M.B., Haack, Körs '05, '04
Open Office (Linux) A String Manifesto Marcus Berg CoPS M.B., Haack, Pajer '07 M.B., Haack, Körs '05, '04 Open Office (Linux) A String Manifesto Marcus Berg CoPS Summary of current state of affairs Statement
More informationSUPERSTRING REALIZATIONS OF SUPERGRAVITY IN TEN AND LOWER DIMENSIONS. John H. Schwarz. Dedicated to the memory of Joël Scherk
SUPERSTRING REALIZATIONS OF SUPERGRAVITY IN TEN AND LOWER DIMENSIONS John H. Schwarz Dedicated to the memory of Joël Scherk SOME FAMOUS SCHERK PAPERS Dual Models For Nonhadrons J. Scherk, J. H. Schwarz
More informationtan(beta) Enhanced Yukawa Couplings for Supersymmetric Higgs
tan(beta) Enhanced Yukawa Couplings for Supersymmetric Higgs Singlets at One-Loop Theoretical Particle Physics University of Manchester 5th October 2006 Based on RNH, A. Pilaftsis hep-ph/0612188 Outline
More informationSupersymmetric Standard Models in String Theory
Supersymmetric Standard Models in String Theory (a) Spectrum (b) Couplings (c) Moduli stabilisation Type II side [toroidal orientifolds]- brief summary- status (a),(b)&(c) Heterotic side [Calabi-Yau compactification]
More informationA Simulated Study Of The Potential For The Discovery of the Supersymmetric Sbottom Squark at the ATLAS Experiment
A Simulated Study Of The Potential For The Discovery of the Supersymmetric Sbottom Squark at the ATLAS Experiment By Rishiraj Pravahan University of Texas at Arlington Outline Why do we need Supersymmetry?
More informationParticle Physics and Cosmology II: Dark Matter
Particle Physics and Cosmology II: Dark Matter Mark Trodden Center for Particle Cosmology University of Pennsylvania Second Lecture Puerto Vallarta Mexico 1/13/2011 Problems of Modern Cosmology Is cosmic
More informationNew Toric Swiss Cheese Solutions
String Phenomenology 2017 (Based on arxiv:1706.09070 [hep-th]) Northeastern University 1/31 Outline Motivation 1 Motivation 2 CY Geometry Large Volume Scenario 3 Explicit Toric 4 2/31 Abundance of Moduli
More informationModels of Neutrino Masses
Models of Neutrino Masses Fernando Romero López 13.05.2016 1 Introduction and Motivation 3 2 Dirac and Majorana Spinors 4 3 SU(2) L U(1) Y Extensions 11 4 Neutrino masses in R-Parity Violating Supersymmetry
More informationSupersymmetry at the LHC
Supersymmetry at the LHC What is supersymmetry? Present data & SUSY SUSY at the LHC C. Balázs, L. Cooper, D. Carter, D. Kahawala C. Balázs, Monash U. Melbourne SUSY@LHC.nb Seattle, 23 Sep 2008 page 1/25
More informationLecture 7 SUSY breaking
Lecture 7 SUSY breaking Outline Spontaneous SUSY breaking in the WZ-model. The goldstino. Goldstino couplings. The goldstino theorem. Reading: Terning 5.1, 5.3-5.4. Spontaneous SUSY Breaking Reminder:
More informationNotes on EDMs. Matt Reece. October 20, 2013
Notes on EDMs Matt Reece October 20, 2013 EDMs and the mass scale of new physics The electron EDM in QED is the dimension 5 operator L = d e i 2 ψσ µν γ 5 ψf µν, (1) where ψ is the electron field and F
More informationSplit Supersymmetry A Model Building Approach
Split Supersymmetry A Model Building Approach Kai Wang Phenomenology Institute Department of Physics the University of Wisconsin Madison UC Riverside HEP Seminar In Collaboration with Ilia Gogoladze (Notre
More informationString Theory Compactifications with Background Fluxes
String Theory Compactifications with Background Fluxes Mariana Graña Service de Physique Th Journées Physique et Math ématique IHES -- Novembre 2005 Motivation One of the most important unanswered question
More informationarxiv: v1 [hep-ph] 22 Mar 2017
An Ultralight Axion in Supersymmetry and Strings and Cosmology at Small Scales James Halverson, Cody Long, and Pran Nath arxiv:1703.07779v1 [hep-ph] 22 Mar 2017 Department of Physics, Northeastern University,
More informationPhysics 662. Particle Physics Phenomenology. February 21, Physics 662, lecture 13 1
Physics 662 Particle Physics Phenomenology February 21, 2002 Physics 662, lecture 13 1 Physics Beyond the Standard Model Supersymmetry Grand Unified Theories: the SU(5) GUT Unification energy and weak
More informationInflaton decay in supergravity and the new gravitino problem
Inflaton decay in supergravity and the new gravitino problem 10. December 2007 @ICRR, University of Tokyo Fuminobu Takahashi (Institute for the Physics and Mathematics of the Universe) Collaborators: Endo,
More informationarxiv: v1 [hep-th] 3 Dec 2012
International Journal of Modern Physics A c World Scientific Publishing Company HRI/ST/1212 CPHT-RR088.1112 arxiv:1212.0555v1 [hep-th] 3 Dec 2012 MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY
More informationBACKREACTION OF HEAVY MODULI FIELDS IN INFLATIONARY MODELS
1 BACKREACTION OF HEAVY MODULI FIELDS IN INFLATIONARY MODELS Based on : - W.Buchmuller, E.D., L.Heurtier and C.Wieck, arxiv:1407.0253 [hep-th], JHEP 1409 (2014) 053. - W.Buchmuller, E.D., L.Heurtier, A.Westphal,
More informationarxiv:hep-ph/ v1 6 Feb 2004
arxiv:hep-ph/0402064v1 6 Feb 2004 AN NMSSM WITHOUT DOMAIN WALLS TAO HAN Department of Physics University of Wisconsin Madison, WI 53706 USA E-mail: than@pheno.physics.wisc.edu PAUL LANGACKER Department
More informationSolutions to gauge hierarchy problem. SS 10, Uli Haisch
Solutions to gauge hierarchy problem SS 10, Uli Haisch 1 Quantum instability of Higgs mass So far we considered only at RGE of Higgs quartic coupling (dimensionless parameter). Higgs mass has a totally
More informationF-theory and Particle Physics
F-theory and Particle Physics Eran Palti (Ecole Polytechnique, Paris) Heidelberg, April 2011 Unification of fields in the UV has been a recurring theme in particle physics Forces Electric + Magnetic +
More informationarxiv: v1 [hep-th] 6 Mar 2014
LMU-ASC 05/14 TUM-HEP 932/14 Geography of Fields in Extra Dimensions: String Theory Lessons for Particle Physics Hans Peter Nilles a and Patrick K.S. Vaudrevange b arxiv:1403.1597v1 [hep-th] 6 Mar 2014
More informationOn the Phenomenology of Four Dimensional Gepner Models
On the Phenomenology of Four Dimensional Gepner Models Mirian Tsulaia (Vienna University of Technology) Work in progress with Elias Kiritsis (University of Crete) Liverpool, March 27 29, 2008 String Phenomenology
More informationHow high could SUSY go?
How high could SUSY go? Luc Darmé LPTHE (Paris), UPMC November 24, 2015 Based on works realised in collaboration with K. Benakli, M. Goodsell and P. Slavich (1312.5220, 1508.02534 and 1511.02044) Introduction
More informationScale hierarchies and string phenomenology
Scale hierarchies and string phenomenology I. Antoniadis Albert Einstein Center, University of Bern and LPTHE, UPMC/CNRS, Sorbonne Universités, Paris Workshop on the Standard Model and Beyond Corfu, Greece,
More informationHigher dimensional operators. in supersymmetry
I. Antoniadis CERN Higher dimensional operators in supersymmetry with E. Dudas, D. Ghilencea, P. Tziveloglou Planck 2008, Barcelona Outline Effective operators from new physics integrating out heavy states
More informationSupergravity Radiative Effects on Soft Terms and the µ Term. Abstract
KAIST-TH 97/13 FTUAM 97/10 Supergravity Radiative Effects on Soft Terms and the µ Term Kiwoon CHOI, Jae Sik LEE and Carlos MUÑOZ Department of Physics, Korea Advanced Institute of Science and Technology,
More informationIntroduction to Supersymmetry
Introduction to Supersymmetry I. Antoniadis Albert Einstein Center - ITP Lecture 5 Grand Unification I. Antoniadis (Supersymmetry) 1 / 22 Grand Unification Standard Model: remnant of a larger gauge symmetry
More informationNew Aspects of Heterotic Geometry and Phenomenology
New Aspects of Heterotic Geometry and Phenomenology Lara B. Anderson Harvard University Work done in collaboration with: J. Gray, A. Lukas, and E. Palti: arxiv: 1106.4804, 1202.1757 J. Gray, A. Lukas and
More informationThe Super-little Higgs
The Super-little Higgs Csaba Csaki (Cornell) with Guido Marandella (UC Davis) Yuri Shirman (Los Alamos) Alessandro Strumia (Pisa) hep-ph/0510294, Phys.Rev.D73:035006,2006 Padua University, July 4, 2006
More informationAccidental SUSY at the LHC
Accidental SUSY at the LHC Tony Gherghetta (University of Melbourne) PACIFIC 2011, Moorea, French Polynesia, September 12, 2011 with Benedict von Harling and Nick Setzer [arxiv:1104.3171] 1 What is the
More informationInflation in String Theory. mobile D3-brane
Inflation in String Theory mobile D3-brane Outline String Inflation as an EFT Moduli Stabilization Examples of String Inflation Inflating with Branes Inflating with Axions (Inflating with Volume Moduli)
More informationThe first year of the LHC and Theory. G.G.Ross, Krakow, December 09
The first year of the LHC and Theory G.G.Ross, Krakow, December 09 The LHC a discovery machine The gauge sector : new gauge bosons? The maber sector : new quarks and leptons? The scalar sector : the hierarchy
More informationCalabi-Yau Fourfolds with non-trivial Three-Form Cohomology
Calabi-Yau Fourfolds with non-trivial Three-Form Cohomology Sebastian Greiner arxiv: 1512.04859, 1702.03217 (T. Grimm, SG) Max-Planck-Institut für Physik and ITP Utrecht String Pheno 2017 Sebastian Greiner
More informationGUTs, Inflation, and Phenomenology
GUTs, Inflation, and Phenomenology Qaisar Shafi Bartol Research Institute Department of Physics and Astronomy University of Delaware in collaboration with G. Dvali, R. K. Schaefer, G. Lazarides, N. Okada,
More informationFixing all moduli in F-theory and type II strings
Fixing all moduli in F-theory and type II strings 0504058 Per Berglund, P.M. [0501139 D. Lüst, P.M., S. Reffert, S. Stieberger] 1 - Flux compactifications are important in many constructions of string
More informationMixed Wino-Axion DM in String Theory and the 130 GeV γ-line signal
Mixed Wino-Axion DM in String Theory and the 130 GeV γ-line signal Piyush Kumar June 27 th, 2012 String Phenomenology Conference Isaac Newton Institute, Cambridge Based on: 1205.5789 (Acharya, Kane, P.K.,
More informationInflation in heterotic supergravity models with torsion
Inflation in heterotic supergravity models with torsion Stephen Angus IBS-CTPU, Daejeon in collaboration with Cyril Matti (City Univ., London) and Eirik Eik Svanes (LPTHE, Paris) (work in progress) String
More informationSUSY Breaking, Composite Higgs and Hidden Gravity
SUSY Breaking, Composite Higgs and Hidden Gravity Ryuichiro Kitano (Tohoku U.) Talk at ICEPP meeting, April 1-3, 2009, Tokyo, Japan What's Higgs? Elementary particle? Something else? 1/ H Composite, technicolor,
More informationChern-Simons Theory and Its Applications. The 10 th Summer Institute for Theoretical Physics Ki-Myeong Lee
Chern-Simons Theory and Its Applications The 10 th Summer Institute for Theoretical Physics Ki-Myeong Lee Maxwell Theory Maxwell Theory: Gauge Transformation and Invariance Gauss Law Charge Degrees of
More informationSupersymmetric Fine-tuning Problem and Little Hierarcy in Mixed Modulus-Anomaly Mediation. Ken-ichi Okumura Department of Physics, Kyushu University
Supersymmetric Fine-tuning Problem and Little Hierarcy in Mixed Modulus-Anomaly Mediation Ken-ichi Okumura Department of Physics, Kyushu University Discoveries of Higgs and Supersymmetry to Pioneer the
More informationYasunori Nomura. UC Berkeley; LBNL. hep-ph/ [PLB] hep-ph/ [PLB] hep-ph/ [PRD] Based on work with Ryuichiro Kitano (SLAC)
Yasunori Nomura UC Berkeley; LBNL Based on work with Ryuichiro Kitano (SLAC) hep-ph/0509039 [PLB] hep-ph/0509221 [PLB] hep-ph/0602096 [PRD] We will be living in the Era of Hadron Collider Exploring highest
More informationNaturalizing Supersymmetry with the Relaxion
Naturalizing Supersymmetry with the Relaxion Tony Gherghetta University of Minnesota Beyond the Standard Model OIST Workshop, Okinawa, Japan, March 4, 2016 Jason Evans, TG, Natsumi Nagata, Zach Thomas
More informationReφ = 1 2. h ff λ. = λ f
I. THE FINE-TUNING PROBLEM A. Quadratic divergence We illustrate the problem of the quadratic divergence in the Higgs sector of the SM through an explicit calculation. The example studied is that of the
More informationModuli and Axions in the X-ray Universe
Uppsala 20th November 2016 Talk Structure 1. Moduli and Axions in String Theory 2. The Cosmological Moduli Problem 3. A 0.1-1 kev Cosmic Axion Background 4. Observing a Cosmic Axion Background and the
More informationHeterotic Torsional Backgrounds, from Supergravity to CFT
Heterotic Torsional Backgrounds, from Supergravity to CFT IAP, Université Pierre et Marie Curie Eurostrings@Madrid, June 2010 L.Carlevaro, D.I. and M. Petropoulos, arxiv:0812.3391 L.Carlevaro and D.I.,
More information