Large N Non-Perturbative Effects in ABJM Theory
|
|
- Bethany Dean
- 5 years ago
- Views:
Transcription
1 Strings Large N Non-Perturbative Effects in ABJM Theory Yasuyuki Hatsuda (DESY) Collaborators: A. Grassi, M. Honda, M. Marino, S. Moriyama & K. Okuyama
2 Basic Flow in Localization Path Integrals Localization Matrix Integrals Not easy... Large N Expansions Typically, leading large N behavior is investigated Remarkably, in ABJM theory, the complete large N expansion has been found! Here, I will talk about a powerful approach to explore the large N expansion in M-theoretic limit Topological string plays a crucial role 2
3 Plan 1. Fermi-Gas Approach and Large N Expansion [YH, Marino, Moriyama & Okuyama, arxiv: ] 2. Quantum Spectral Problem and Quantization Condition [Grassi, YH & Marino, arxiv: , ] 3
4 ABJM Theory What is ABJM? [Aharony, Bergman, Jafferis, Maldacena 08] 3d superconformal Chern-Simons-matter theory with gauge group U(N) k U(N) k Two independent parameters N N Rank of gauge group N & Chern-Simons level k t Hooft coupling = N/k & String coupling g s =2 /k 4
5 Why important? Low energy effective theory on multiple M2 branes has gravity dual at large N M-theory on AdS 4 S 7 /Z k (k N 1/5 ) Type IIA on AdS 4 CP 3 ( t Hooft limit) Using AdS/CFT, the ABJM theory probes nonperturbative aspects of the dual string/m-theory Analogy: Non-critical strings/matrix models 5
6 ABJM Matrix Model Localization: path integral matrix integral [Pestun 07] Z ABJM (N) = 1 N! 2 Z d N µ (2 ) N d N (2 ) N Qi<j [2 sinh( µ i µ j )] 2 [2 sinh( i j )] Qi,j [2 cosh( µ i j exp " ik 4 2 )] 2 # NX (µ 2 i 2 i ) i=1 The reduction is exact [Kapustin, Willett & Yaakov 09] All information is encoded in this matrix integral Still non-trivial to extract the large N result from this integral 6
7 Fermi-Gas Approach Crucial fact: The ABJM partition function can be regarded as the partition function of an ideal Fermigas [Marino & Putrov 11] Generating function (µ, k) =1+ 1X N=1 Z ABJM (N, k)e Nµ 1Y = (1 + e µ E n ) n=0 Grand partition function of ideal Fermi-gas 7
8 The Hamiltonian is quite unconventional e Ĥ = 1 1 (2 cosh ˆx 2 )1/2 2 cosh ˆp 2 1 (2 cosh ˆx 2 )1/2 Eigenvalue problem: Fredholm integral equation Important: The Chern-Simons level k plays the role of the Planck constant! [ˆx, ˆp] =i~, ~ =2 k (Semi-classical limit) (Strong coupling limit) ~! 0 g s = 2 k!1 8
9 One can develop the semi-classical analysis 1X [Marino & Putrov 11] J WKB (µ, k) = 1 k n=0 k 2n J n (µ) Large µ Large N 9
10 One can develop the semi-classical analysis 1X [Marino & Putrov 11] J WKB (µ, k) = 1 k n=0 k 2n J n (µ) Large µ Large N = C 3 µ3 + Bµ + A + 1X (a`(k)µ 2 + b`(k)µ + c`(k))e 2`µ `=1 N 3/2 -behavior What are these corrections? 9
11 One can develop the semi-classical analysis 1X [Marino & Putrov 11] J WKB (µ, k) = 1 k n=0 k 2n J n (µ) Large µ Large N = C 3 µ3 + Bµ + A + 1X (a`(k)µ 2 + b`(k)µ + c`(k))e 2`µ `=1 N 3/2 -behavior What are these corrections? O(e 2µ ) O(e p 2kN ) O(e 2 2p 2 /g s ) Non-perturbative corrections in g s Membrane instantons!? 9
12 One can develop the semi-classical analysis 1X [Marino & Putrov 11] J WKB (µ, k) = 1 k n=0 k 2n J n (µ) Large µ Large N = C 3 µ3 + Bµ + A + 1X (a`(k)µ 2 + b`(k)µ + c`(k))e 2`µ `=1 N 3/2 -behavior What are these corrections? O(e 2µ ) O(e p 2kN ) O(e 2 2p 2 /g s ) Non-perturbative corrections in g s Semi-classical analysis provides non-perturbative corrections in g s Membrane instantons!? 9
13 Remarkable Connection In principle, one can compute the WKB expansions of the membrane instanton corrections order by order There is a remarkable connetion with topological string 2 cosh ˆx 2 2 cosh ˆp 2 10 i =e E i Canonical transform (eû + z 1 e û +eˆv + z 2 e ˆv 1) i =0 Quantization of the mirror curve of local P 1 P 1! [Aganagic, Cheng, Dijkgraaf, Krefl & Vafa 11]
14 The quantized mirror curve describes the refined topological string in Nekrasov-Shatashvili limit! ( 1, 2 )! (~, 0) [Aganagic et al. 11] cf. Unrefined slice: 1 = 2 The quantum parameter just corresponds to the Chern-Simons coupling k [YH, Marino, Moriyama & Okuyama 13] B a`(k) b`(k) = (Quantum corrected A-period) = (Quantum corrected B-period) A T (p) +U(x) =E c`(k) = (Combination of a and b) Membrane instantons are computed as quantum periods! 11 Figure from [Kallen & Marino 13]
15 Non-Perturbative Corrections The membrane instanton corrections have poles... b 1 (k) = 2 cos k 2 cot k 2 This divergence is cured by non-perturbative corrections in the Planck constant! Surprisingly, this correction can be computed by unrefined topological string free energy J np (µ, k) = X g,n,d n d g Gopakumar-Vafa invariants for local P 1 P 1 12 diverges at k =2, 4,... [YH, Moriyama & Okuyama 12] ( 1 = 2 ) ( 1) dn 2 sin 2 n 2g 2 e 4dnµ k n k has poles!
16 From Large N to Finite N Combining all corrections, we obtain the complete large µ expansion for any k J(µ, 1) = µ µ + log 2 4 Z FG (N, k) = Z C Order dµ 2 i ej(µ,k) Nµ e 4µ e 8µ Worldsheet + Membrane (3) µ2 +4µ e 4µ + O(e 8µ ) Z FG (N =1,k = 1) Z(N =1,k = 1) = e 24µ 96-digit precision! The large N expansion reproduces the finite N result! 13
17 2. Quantum Spectral Problem and Quantization Condition [Grassi, YH & Marino, arxiv: , ]
18 Quantum Spectral Problem The eigenvalue problem of the Fermi-gas is written as a Fredholm-type integral equation e Ĥ ni =e E n ni Z 1 1 dx 0 (x, x 0 ) n(x 0 )=e E n n(x) (x, x 0 )= 1 2 k 1 1 (2 cosh x 2 )1/2 2 cosh x x0 2k 1 (2 cosh x0 2 )1/2 Recall: k is the Planck constant 15
19 How to solve this eigenvalue problem? We already know the solution! 16
20 How to solve this eigenvalue problem? We already know the solution! We have constructed this function with the help of the topological string 1Y (µ, k) = (1 + e µ E n ) n=0 The energy spectrum can be read off as zeros µ = E n + i(+2 im) 16
21 Quantization Condition The vanishing condition for leads to an exact quantization condition Captured by semi-classical analysis [Grassi, YH & Marino, 14] Special cases: [Kallen & Marino 13] (E n,k)= WKB (E n,k)+ np (E n,k)=n Non-perturbative in k E 7 E 2 The exact quantization 6 5 E 1 condition is valid for any 4 finite k E 0 k
22 Test Spectrum at k = 3 Energy levels for k =3,M =0 Order E 0 E 1 e 4E/ e 12E/ e 24E/ e 32E/ e 40E/ e 52E/ Numerical value Spectrum at k = 5 Order E 0 E 1 e 4E/ e 16E/ e 32E/ e 48E/ Numerical value The topological string solves the spectral problem! 18
23 Summary Refined Topological String on Local P 1 P 1 1 = 2 = 4 k 1 =2 k, 2! 0 Worldsheet Instantons Membrane Instantons Large µ Expansion of J Large N Expansion of Z Quantization Condition 19
24 Other Topics around Fermi-Gas Weak coupling (genus) expansion [Drukker, Marino & Putrov 10] (Borel resum) (Exact result) [Grassi, Marino & Zakany 14] More general circular quiver CS [Moriyama & Nosaka 14; YH, Honda & Okuyama 15] Spectral theory and topological strings Exact spectral determinant and QC [Grassi, YH & Marino 14] Beautiful structure in QC [Wang, Zhang & Huang 14] 3d mirror symmetry [Assel, Drukker & Felix 15] 20
25 Thank you!
26 Appendix
27 Saddle Point Approx. Saddle point equation r kn J 0 (µ ) N =0 µ 2 Free energy at large N F (N) J(µ )+µ N p 2k 3 N 3/2 Exponentially suppressed corrections O(e 2µ ) O(e p 2kN ) O(e 2 2p 2 /g s ) O(e 4µ k ) O(e 2 p 2N/k ) O(e 2 p2 ) 23
M-theoretic Matrix Models
M-theoretic Matrix Models Alba Grassi Université de Genève Mostly based on: A.G., M. Mariño, 1403.4276 Outline The ABJM theory: it has been possible to compute exactly the full partition function which
More informationNon-perturbative Effects in ABJM Theory from Fermi Gas Approach
Non-perturbative Effects in ABJM Theory from Fermi Gas Approach Sanefumi Moriyama (Nagoya/KMI) [arxiv:1106.4631] with H.Fuji and S.Hirano [arxiv:1207.4283, 1211.1251, 1301.5184] with Y.Hatsuda and K.Okuyama
More informationNon-perturbative effects in ABJM theory
October 9, 2015 Non-perturbative effects in ABJM theory 1 / 43 Outline 1. Non-perturbative effects 1.1 General aspects 1.2 Non-perturbative aspects of string theory 1.3 Non-perturbative effects in M-theory
More informationABJM 行列模型から. [Hatsuda+M+Okuyama 1207, 1211, 1301]
ABJM 行列模型から 位相的弦理論へ Sanefumi Moriyama (NagoyaU/KMI) [Hatsuda+M+Okuyama 1207, 1211, 1301] [HMO+Marino 1306] [HMO+Honda 1306] Lessons from '90s String Theory As Unified Theory String Theory, NOT JUST "A
More informationarxiv: v1 [hep-th] 7 Jun 2013
Preprint typeset in JHEP style - PAPER VERSION DESY 3-096, TIT/HEP-67 Non-perturbative effects and the refined topological string Yasuyuki Hatsuda a, Marcos Mariño b, Sanefumi Moriyama c and Kazumi Okuyama
More informationA supermatrix model for ABJM theory
A supermatrix model for ABJM theory Nadav Drukker Humboldt Universität zu Berlin Based on arxiv:0912.3006: and arxiv:0909.4559: arxiv:0912.3974: N.D and D. Trancanelli A. Kapustin, B. Willett, I. Yaakov
More informationQuantum gravity at one-loop and AdS/CFT
Quantum gravity at one-loop and AdS/CFT Marcos Mariño University of Geneva (mostly) based on S. Bhattacharyya, A. Grassi, M.M. and A. Sen, 1210.6057 The AdS/CFT correspondence is supposed to provide a
More informationInstanton Effects in Orbifold ABJM Theory
Instanton Effects in Orbifold ABJM Theory Sanefumi Moriyama (NagoyaU/KMI) [Honda+M 1404] [M+Nosaka 1407] Contents 1. IntroducOon 2. ABJM 3. GeneralizaOons Message The Exact Instanton Expansion of The ABJM
More informationHow to resum perturbative series in supersymmetric gauge theories. Masazumi Honda ( 本多正純 )
How to resum perturbative series in supersymmetric gauge theories Masazumi Honda ( 本多正純 ) References: M.H., Borel Summability of Perturbative Series in 4D N=2 and 5D N=1 Supersymmetric Theories, PRL116,
More informationNon-perturbative effects in string theory and AdS/CFT
Preprint typeset in JHEP style - PAPER VERSION Non-perturbative effects in string theory and AdS/CFT Marcos Mariño Département de Physique Théorique et Section de Mathématiques, Université de Genève, Genève,
More informationMatrix models from operators and topological strings
Preprint typeset in JHEP style - PAPER VERSION Matrix models from operators and topological strings arxiv:150.0958v [hep-th] 3 Jun 015 Marcos Mariño and Szabolcs Zakany Département de Physique Théorique
More informationThe Partition Function of ABJ Theory
The Partition Function of ABJ Theory Masaki Shigemori (KMI, Nagoya U) Amsterdam, 28 February 2013 with Hidetoshi Awata, Shinji Hirano, Keita Nii 1212.2966, 1303.xxxx Introduction AdS 4 /CFT 3 M-theory
More informationarxiv: v3 [hep-th] 7 May 2015
Preprint typeset in JHEP style - PAPER VERSION Resumming the string perturbation series arxiv:1405.4214v3 [hep-th] 7 May 2015 Alba Grassi, Marcos Mariño and Szabolcs Zakany Département de Physique Théorique
More informationM-theory S-Matrix from 3d SCFT
M-theory S-Matrix from 3d SCFT Silviu S. Pufu, Princeton University Based on: arxiv:1711.07343 with N. Agmon and S. Chester arxiv:1804.00949 with S. Chester and X. Yin Also: arxiv:1406.4814, arxiv:1412.0334
More informationSUPERCONFORMAL FIELD THEORIES. John H. Schwarz. Abdus Salam ICTP 10 November 2010
SUPERCONFORMAL FIELD THEORIES John H. Schwarz Abdus Salam ICTP 10 November 2010 Introduction One reason that superconformal field theories are particularly interesting is their role in AdS/CFT duality.
More informationTopological String Theory
Topological String Theory Hirosi Ooguri (Caltech) Strings 2005, Toronto, Canada If String Theory is an answer, what is the question? What is String Theory? If Topological String Theory is an answer, what
More informationThree-sphere free energy for classical gauge groups
MIT-CTP-4520 arxiv:32.0920v3 [hep-th] 3 Dec 205 Three-sphere free energy for classical gauge groups Márk Mezei and Silviu S. Pufu Center for Theoretical Physics, Massachusetts Institute of Technology,
More informationarxiv: v3 [hep-th] 18 Apr 2014
Preprint typeset in JHEP style - PAPER VERSION KEK-TH-67,YITP-3-95 arxiv:30.36v3 hep-th] 8 Apr 04 Direct derivation of mirror partition function Masazumi Honda High Energy Accelerator Research Organization
More informationRecent Advances in SUSY
Recent Advances in SUSY Nathan Seiberg Strings 2011 Thank: Gaiotto, Festuccia, Jafferis, Kapustin, Komargodski, Moore, Rocek, Shih, Tachikawa We cannot summarize thousands of papers in one talk We will
More informationKnots and Mirror Symmetry. Mina Aganagic UC Berkeley
Knots and Mirror Symmetry Mina Aganagic UC Berkeley 1 Quantum physics has played a central role in answering the basic question in knot theory: When are two knots distinct? 2 Witten explained in 88, that
More informationN = 2 CHERN-SIMONS MATTER THEORIES: RG FLOWS AND IR BEHAVIOR. Silvia Penati. Perugia, 25/6/2010
N = 2 CHERN-SIMONS MATTER THEORIES: RG FLOWS AND IR BEHAVIOR Silvia Penati Perugia, 25/6/2010 Motivations AdS 4 /CFT 3 correspondence states that the strong coupling dynamics of a N = 6 Chern-Simons theory
More informationResurgence Structure to All Orders of Multi-bions in Deformed SUSY Quantum Mechanics
Resurgence Structure to All Orders of Multi-bions in Deformed SUSY Quantum Mechanics Toshiaki Fujimori (Keio University) based on arxiv:1607.04205, Phys.Rev. D94 (2016) arxiv:1702.00589, Phys.Rev. D95
More informationarxiv: v2 [hep-th] 4 Jun 2016
Prepared for submission to JHEP CCNY-HEP-15-08 Exact quantization conditions for cluster integrable systems arxiv:1512.03061v2 [hep-th] 4 Jun 2016 Sebastián Franco, a,b Yasuyuki Hatsuda c and Marcos Mariño
More informationABJM Baryon Stability at Finite t Hooft Coupling
ABJM Baryon Stability at Finite t Hooft Coupling Yolanda Lozano (U. Oviedo) Santiago de Compostela, October 2011 - Motivation: Study the stability of non-singlet baryon vertex-like configurations in ABJM
More informationChern-Simons Theories and AdS/CFT
Chern-Simons Theories and AdS/CFT Igor Klebanov PCTS and Department of Physics Talk at the AdS/CMT Mini-program KITP, July 2009 Introduction Recent progress has led to realization that coincident membranes
More informationPlanar Limit Analysis of Matrix Models
Planar Limit Analysis of Matrix Models Submitted in partial fulfilment of the requirements of the degree of Bachelor of Technology by Sarthak Bagaria 10060006 Supervisor : Prof. P. Ramadevi Department
More informationOne Loop Tests of Higher Spin AdS/CFT
One Loop Tests of Higher Spin AdS/CFT Simone Giombi UNC-Chapel Hill, Jan. 30 2014 Based on 1308.2337 with I. Klebanov and 1401.0825 with I. Klebanov and B. Safdi Massless higher spins Consistent interactions
More informationDualities and Topological Strings
Dualities and Topological Strings Strings 2006, Beijing - RD, C. Vafa, E.Verlinde, hep-th/0602087 - work in progress w/ C. Vafa & C. Beasley, L. Hollands Robbert Dijkgraaf University of Amsterdam Topological
More informationTechniques for exact calculations in 4D SUSY gauge theories
Techniques for exact calculations in 4D SUSY gauge theories Takuya Okuda University of Tokyo, Komaba 6th Asian Winter School on Strings, Particles and Cosmology 1 First lecture Motivations for studying
More informationPUZZLES IN 3D CHERN-SIMONS-MATTER THEORIES
PUZZLES IN 3D CHERN-SIMONS-MATTER THEORIES Silvia Penati, University of Milano-Bicocca and INFN Ascona, July 3 2017 PUZZLES IN 3D CHERN-SIMONS-MATTER THEORIES Silvia Penati, University of Milano-Bicocca
More informationt Hooft Loops and S-Duality
t Hooft Loops and S-Duality Jaume Gomis KITP, Dualities in Physics and Mathematics with T. Okuda and D. Trancanelli Motivation 1) Quantum Field Theory Provide the path integral definition of all operators
More informationDuality Chern-Simons Calabi-Yau and Integrals on Moduli Spaces. Kefeng Liu
Duality Chern-Simons Calabi-Yau and Integrals on Moduli Spaces Kefeng Liu Beijing, October 24, 2003 A. String Theory should be the final theory of the world, and should be unique. But now there are Five
More informationBispectrum from open inflation
Bispectrum from open inflation φ φ Kazuyuki Sugimura (YITP, Kyoto University) Y TP YUKAWA INSTITUTE FOR THEORETICAL PHYSICS K. S., E. Komatsu, accepted by JCAP, arxiv: 1309.1579 Bispectrum from a inflation
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 information5d SCFTs and instanton partition functions
5d SCFTs and instanton partition functions Hirotaka Hayashi (IFT UAM-CSIC) Hee-Cheol Kim and Takahiro Nishinaka [arxiv:1310.3854] Gianluca Zoccarato [arxiv:1409.0571] Yuji Tachikawa and Kazuya Yonekura
More informationExact results for Wilson loops in N = 4 SYM
Exact results for Wilson loops in N = 4 SYM Diego H. Correa Universidad Nacional de La Plata - CONICET - Argentina Based on arxives: 1202.4455, 1203.1019 and 1203.1913 In collaboration with: J. Henn, J.
More informationSupersymmetry on Curved Spaces and Holography
Supersymmetry on Curved Spaces and Holography based on: 1205.1062 C.K.-Tomasiello-Zaffaroni 1207.2181 Cassani-C.K.-Martelli-Tomasiello-Zaffaroni Claudius Klare Università di Milano-Bicocca Outline Motivations
More informationBremsstrahlung function for ABJM theory based on work in progress with L. Griguolo, M. Preti and D. Seminara
Bremsstrahlung function for ABJM theory based on work in progress with L. Griguolo, M. Preti and D. Seminara Lorenzo Bianchi Universität Hamburg March 3 rd,2017. YRISW, Dublin Lorenzo Bianchi (HH) Bremsstrahlung
More informationarxiv: v2 [hep-th] 12 Jan 2012
Preprint typeset in JHEP style - PAPER VERSION Imperial-TP-011-ND-01 Nonperturbative aspects of ABJM theory arxiv:1103.4844v [hep-th] 1 Jan 01 Nadav Drukker a, Marcos Mariño b,c and Pavel Putrov c a The
More informationAdS/CFT duality. Agnese Bissi. March 26, Fundamental Problems in Quantum Physics Erice. Mathematical Institute University of Oxford
AdS/CFT duality Agnese Bissi Mathematical Institute University of Oxford March 26, 2015 Fundamental Problems in Quantum Physics Erice What is it about? AdS=Anti de Sitter Maximally symmetric solution of
More informationHigher Spin AdS/CFT at One Loop
Higher Spin AdS/CFT at One Loop Simone Giombi Higher Spin Theories Workshop Penn State U., Aug. 28 2015 Based mainly on: SG, I. Klebanov, arxiv: 1308.2337 SG, I. Klebanov, B. Safdi, arxiv: 1401.0825 SG,
More informationVolume Conjecture: Refined and Categorified
Volume Conjecture: Refined and Categorified Sergei Gukov based on: hep-th/0306165 (generalized volume conjecture) with T.Dimofte, arxiv:1003.4808 (review/survey) with H.Fuji and P.Sulkowski, arxiv:1203.2182
More information(Quantum) Super-A-polynomial
Piotr Suªkowski UvA (Amsterdam), Caltech (Pasadena), UW (Warsaw) String Math, Bonn, July 2012 1 / 27 Familiar curves (Seiberg-Witten, mirror, A-polynomial)......typically carry some of the following information:
More informationCold Holographic matter in top-down models
Cold Holographic matter in top-down models A. V. Ramallo Univ. Santiago NumHol016, Santiago de Compostela June 30, 016 Based on 1503.0437, 160.06106, 1604.03665 with Y. Bea, G. Itsios and N. Jokela Motivation
More informationLarge-N Chern-Simons Models in String and M- Theory
Large-N Chern-Simons Models in String and M- Theory A Synopsis submitted in partial fulfillment of the requirements for the award of the degree of Doctor of Philosophy in Physics and Computer Science Submitted
More informationSupersymmetric Gauge Theories in 3d
Supersymmetric Gauge Theories in 3d Nathan Seiberg IAS Intriligator and NS, arxiv:1305.1633 Aharony, Razamat, NS, and Willett, arxiv:1305.3924 3d SUSY Gauge Theories New lessons about dynamics of quantum
More informationTopological Holography and Chiral Algebras. Work in progress with Kevin Costello
Topological Holography and Chiral Algebras Work in progress with Kevin Costello General Motivations Topological twist of sugra/superstrings as holographic dual of twisted SQFT (Costello) Topological Holography:
More informationThink Globally, Act Locally
Think Globally, Act Locally Nathan Seiberg Institute for Advanced Study Quantum Fields beyond Perturbation Theory, KITP 2014 Ofer Aharony, NS, Yuji Tachikawa, arxiv:1305.0318 Anton Kapustin, Ryan Thorngren,
More informationA Localization Computation in Confining Phase
A Localization Computation in Confining Phase Seiji Terashima (YITP) 20 January 2015 at Osaka based on the paper: arxiv:1410.3630 Introduction 2 Analytic computations in QFT are hopeless, but, some exceptions:
More informationElements of Topological M-Theory
Elements of Topological M-Theory (with R. Dijkgraaf, S. Gukov, C. Vafa) Andrew Neitzke March 2005 Preface The topological string on a Calabi-Yau threefold X is (loosely speaking) an integrable spine of
More informationRigid SUSY in Curved Superspace
Rigid SUSY in Curved Superspace Nathan Seiberg IAS Festuccia and NS 1105.0689 Thank: Jafferis, Komargodski, Rocek, Shih Theme of recent developments: Rigid supersymmetric field theories in nontrivial spacetimes
More informationOn higher-spin gravity in three dimensions
On higher-spin gravity in three dimensions Jena, 6 November 2015 Stefan Fredenhagen Humboldt-Universität zu Berlin und Max-Planck-Institut für Gravitationsphysik Higher spins Gauge theories are a success
More informationOpen/Closed Duality in Topological Matrix Models
Leonardo Rastelli Open/Closed Duality in Topological Matrix Models Rutgers, March 30 2004 with Davide Gaiotto hep-th/0312196 + work in progress Open/Closed Duality Gauge theory/closed strings correspondence
More informationHIGHER SPIN ADS 3 GRAVITIES AND THEIR DUAL CFTS
HIGHER SPIN ADS 3 GRAVITIES AND THEIR DUAL CFTS Yasuaki Hikida (Keio University) Based on [1] JHEP02(2012)109 [arxiv:1111.2139 [hep-th]] [2] arxiv:1209.xxxx with Thomas Creutzig (Tech. U. Darmstadt) Peter
More informationQuantum phase transition in supersymmetric QED 3
Quantum phase transition in supersymmetric QED 3 Miguel Tierz Departamento de Matemática Faculdade de Ciências, Universidade de Lisboa tierz@fc.ul.pt Iberian Strings 2017 at Instituto Superior Técnico.
More informationSix-point gluon scattering amplitudes from -symmetric integrable model
YITP Workshop 2010 Six-point gluon scattering amplitudes from -symmetric integrable model Yasuyuki Hatsuda (YITP) Based on arxiv:1005.4487 [hep-th] in collaboration with K. Ito (TITECH), K. Sakai (Keio
More informationRecent developments in Monte Carlo studies of superstring theory
Recent developments in Monte Carlo studies of superstring theory Jun Nishimura (KEK & SOKENDAI) 12-16 August, 2013 Current Themes in High Energy Physics and Cosmology Niels Bohr Institute, Copenhagen Large-N
More informationA Brief Introduction to AdS/CFT Correspondence
Department of Physics Universidad de los Andes Bogota, Colombia 2011 Outline of the Talk Outline of the Talk Introduction Outline of the Talk Introduction Motivation Outline of the Talk Introduction Motivation
More informationON ABJM BDS EXPONENTIATION
ON ABJM BDS EXPONENTIATION Matias Leoni Universidad de Buenos Aires & CONICET In collaboration with Marco S. Bianchi arxiv:1403.3398 N=4 SYM Exponentiation Consider color ordered MHV 4p amplitude in We
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 informationResurgent Transseries: Beyond (Large N) Perturbative Expansions
Resurgent Transseries: Beyond (Large N) Perturbative Expansions Ricardo Schiappa ( Instituto Superior Técnico ) CERN, October 25, 2013 Ricardo Schiappa (Lisbon, IST) Resurgent Transseries and Large N CERN,
More informationMonte Carlo approach to string/m theory
Monte Carlo approach to string/m theory Masanori Hanada KEK Theory Center Goal (1) : understand these figures. power law predicted by SUGRA energy density of SUSY quantum mechanics two-point function Free
More informationTHE MASTER SPACE OF N=1 GAUGE THEORIES
THE MASTER SPACE OF N=1 GAUGE THEORIES Alberto Zaffaroni CAQCD 2008 Butti, Forcella, Zaffaroni hepth/0611229 Forcella, Hanany, Zaffaroni hepth/0701236 Butti,Forcella,Hanany,Vegh, Zaffaroni, arxiv 0705.2771
More informationTopological Strings, D-Model, and Knot Contact Homology
arxiv:submit/0699618 [hep-th] 21 Apr 2013 Topological Strings, D-Model, and Knot Contact Homology Mina Aganagic 1,2, Tobias Ekholm 3,4, Lenhard Ng 5 and Cumrun Vafa 6 1 Center for Theoretical Physics,
More informationM5-branes and Wilson Surfaces! in AdS7/CFT6 Correspondence
M5-branes and Wilson Surfaces! in AdS7/CFT6 Correspondence Hironori Mori (Osaka Univ.) based on arxiv:1404.0930 with Satoshi Yamaguchi (Osaka Univ.) 014/05/8, Holographic vistas on Gravity and Strings
More informationAdS 6 /CFT 5 in Type IIB
AdS 6 /CFT 5 in Type IIB Part II: Dualities, tests and applications Christoph Uhlemann UCLA Strings, Branes and Gauge Theories APCTP, July 2018 arxiv: 1606.01254, 1611.09411, 1703.08186, 1705.01561, 1706.00433,
More informationNew and old N = 8 superconformal field theories in three dimensions
New and old N = 8 superconformal field theories in three dimensions arxiv:1103.3548v1 [hep-th] 18 Mar 2011 Denis Bashkirov, Anton Kapustin California Institute of Technology March 21, 2011 Abstract We
More informationAnomalies and SPT phases
Anomalies and SPT phases Kazuya Yonekura, Kavli IPMU Review (mainly of [1508.04715] by Witten) [1607.01873] KY [1610.07010][1611.01601] collaboration with Yuji Tachikawa Introduction What is the most general
More informationThink Globally, Act Locally
Think Globally, Act Locally Nathan Seiberg Institute for Advanced Study Quantum Fields beyond Perturbation Theory, KITP 2014 Ofer Aharony, NS, Yuji Tachikawa, arxiv:1305.0318 Anton Kapustin, Ryan Thorngren,
More informationΩ-deformation and quantization
. Ω-deformation and quantization Junya Yagi SISSA & INFN, Trieste July 8, 2014 at Kavli IPMU Based on arxiv:1405.6714 Overview Motivation Intriguing phenomena in 4d N = 2 supserymmetric gauge theories:
More informationSpectrum of Holographic Wilson Loops
Spectrum of Holographic Wilson Loops Leopoldo Pando Zayas University of Michigan Continuous Advances in QCD 2011 University of Minnesota Based on arxiv:1101.5145 Alberto Faraggi and LPZ Work in Progress,
More informationQuantization of gravity, giants and sound waves p.1/12
Quantization of gravity, giants and sound waves Gautam Mandal ISM06 December 14, 2006 Quantization of gravity, giants and sound waves p.1/12 Based on... GM 0502104 A.Dhar, GM, N.Suryanarayana 0509164 A.Dhar,
More informationChern-Simons Theory & Topological Strings
1 Chern-Simons Theory & Topological Strings Bonn August 6, 2009 Albrecht Klemm 2 Topological String Theory on Calabi-Yau manifolds A-model & Integrality Conjectures B-model Mirror Duality & Large N-Duality
More informationKnot Contact Homology, Chern-Simons Theory, and Topological Strings
Knot Contact Homology, Chern-Simons Theory, and Topological Strings Tobias Ekholm Uppsala University and Institute Mittag-Leffler, Sweden Symplectic Topology, Oxford, Fri Oct 3, 2014 Plan Reports on joint
More informationPossible Advanced Topics Course
Preprint typeset in JHEP style - HYPER VERSION Possible Advanced Topics Course Gregory W. Moore Abstract: Potential List of Topics for an Advanced Topics version of Physics 695, Fall 2013 September 2,
More informationWilson loops, instantons and quantum mechanics
Wilson loops, instantons and quantum mechanics Dissertation zur Erlangung des Doktorgrades (Dr. rer. nat.) der Mathematisch-Naturwissenschaftlichen Fakultät der Rheinischen Friedrich-Wilhelms-Universität
More informationNew Superconformal Chern-Simons Theories and M2-branes
New Superconformal Chern-Simons Theories and M2-branes Sangmin Lee Seoul National University Kazuo Hosomichi, Ki-Myeong Lee, SL, Sungjay Lee, Jaemo Park, Piljin Yi [JHEP0807:091, JHEP0809:002, JHEP0811:058]
More informationBPS non-local operators in AdS/CFT correspondence. Satoshi Yamaguchi (Seoul National University) E. Koh, SY, arxiv: to appear in JHEP
BPS non-local operators in AdS/CFT correspondence Satoshi Yamaguchi (Seoul National University) E. Koh, SY, arxiv:0812.1420 to appear in JHEP Introduction Non-local operators in quantum field theories
More informationCounterterms, critical gravity and holography
Counterterms, critical gravity and holography Aninda Sinha, Indian Institute of Science, Bangalore, India, Perimeter Institute, Waterloo, Canada 14-Feb-12 1 of 27 Based on arxiv:1101.4746 Phys.Rev.Lett.
More informationMonte Carlo approach to the string/m-theory
KEK Theory Center E-mail: hanada@post.kek.jp It has long been conjectured that certain supersymmetric Yang-Mills (SYM) theories provide us with nonperturbative formulations of the string/m-theory. Although
More informationAffine SU(N) algebra from wall-crossings
Affine SU(N) algebra from wall-crossings Takahiro Nishinaka ( KEK ) arxiv: 1107.4762 : T. N. and Satoshi Yamaguchi 12 Aug. 2011 Counting BPS D-branes on CY3 Microstates of black holes in R 4 Instanton
More informationLocalization and Conjectures from String Duality
Localization and Conjectures from String Duality Kefeng Liu June 22, 2006 Beijing String Duality is to identify different theories in string theory. Such identifications have produced many surprisingly
More informationMembranes and the Emergence of Geometry in MSYM and ABJM
in MSYM and ABJM Department of Mathematics University of Surrey Guildford, GU2 7XH, UK Mathematical Physics Seminar 30 October 2012 Outline 1 Motivation 2 3 4 Outline 1 Motivation 2 3 4 Gauge theory /
More informationKnot polynomials, homological invariants & topological strings
Knot polynomials, homological invariants & topological strings Ramadevi Pichai Department of Physics, IIT Bombay Talk at STRINGS 2015 Plan: (i) Knot polynomials from Chern-Simons gauge theory (ii) Our
More informationDeconstructing the BPS sector of (2,0) Theories
Deconstructing the BPS sector of (2,0) Theories Costis Papageorgakis Aspen, 6 th March 2017 w/ J. Hayling, E. Pomoni and D. Rodríguez-Gómez 1703.xxxxx Motivation Many years on still trying to understand
More informationSupermatrix Models * Robbert Dijkgraaf Ins$tute for Advanced Study
Supermatrix Models * Robbert Dijkgraaf Ins$tute for Advanced Study Walter Burke Ins.tute for Theore.cal Physics Inaugural Symposium Caltech, Feb 24, 1015 * Work with Cumrun Vafa and Ben Heidenreich, in
More information1 What s the big deal?
This note is written for a talk given at the graduate student seminar, titled how to solve quantum mechanics with x 4 potential. What s the big deal? The subject of interest is quantum mechanics in an
More informationMatrix Quantum Mechanics for the Black Hole Information Paradox
Matrix Quantum Mechanics for the Black Hole Information Paradox Nori Iizuka CERN w/ D. Trancanelli: work in progress w/ J. Polchinski: arxiv:0801.3657, w/ T. Okuda and J. Polchinski: arxiv:0808.0530, (w/
More informationMicrostates of AdS black holes and supersymmetric localization
Microstates of AdS black holes and supersymmetric localization Seyed Morteza Hosseini Università di Milano-Bicocca IPM, Tehran, May 8-11, 2017 Recent Trends in String Theory and Related Topics in collaboration
More informationNikolay Gromov. Based on
Nikolay Gromov Based on N. G., V.Kazakov, S.Leurent, D.Volin 1305.1939,????.???? N. G., F. Levkovich-Maslyuk, G. Sizov, S.Valatka????.???? A. Cavaglia, D. Fioravanti, N.G, R.Tateo????.???? December, 2013
More informationDefining Chiral Gauge Theories Beyond Perturbation Theory
Defining Chiral Gauge Theories Beyond Perturbation Theory Lattice Regulating Chiral Gauge Theories Dorota M Grabowska UC Berkeley Work done with David B. Kaplan: Phys. Rev. Lett. 116 (2016), no. 21 211602
More informationKnot Homology from Refined Chern-Simons Theory
Knot Homology from Refined Chern-Simons Theory Mina Aganagic UC Berkeley Based on work with Shamil Shakirov arxiv: 1105.5117 1 the knot invariant Witten explained in 88 that J(K, q) constructed by Jones
More informationHolographic Anyons in the ABJM theory
Seminar given at NTHU/NTS Journal lub, 010 Sep. 1 Holographic Anyons in the ABJM theory Shoichi Kawamoto (NTNU, Taiwan) with Feng-Li Lin (NTNU) Based on JHEP 100:059(010) Motivation AdS/FT correspondence
More informationarxiv: v1 [hep-th] 6 Nov 2012
Dual description of a 4d cosmology Michael Smolkin and Neil Turok Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada. Abstract M-theory compactified on S 7 /Z k allows for a
More informationInstanton effective action in - background and D3/D(-1)-brane system in R-R background
Instanton effective action in - background and D3/D(-1)-brane system in R-R background Speaker : Takuya Saka (Tokyo Tech.) Collaboration with Katsushi Ito, Shin Sasaki (Tokyo Tech.) And Hiroaki Nakajima
More informationDifference Painlevé equations from 5D gauge theories
Difference Painlevé equations from 5D gauge theories M. Bershtein based on joint paper with P. Gavrylenko and A. Marshakov arxiv:.006, to appear in JHEP February 08 M. Bershtein Difference Painlevé based
More informationOn M5 Branes. Kimyeong Lee KIAS. YKIS 2012 From Gravity to Strong Coupling Physics Yukawa Institute for Theoretical Physics Oct 2012
On M5 Branes Kimyeong Lee KIAS YKIS 2012 From Gravity to Strong Coupling Physics Yukawa Institute for Theoretical Physics Oct 2012 Ho-Ung Yee, KM [hep-th/0606150], Bolognesi, KM: On 1/4 BPS Junctions,
More informationto end up on top when rolling the die then we can write the expectation value as k p(k) =
Snapshots of modern mathematics from Oberwolfach 2/208 Topological recursion Piotr Sułkowski In this snapshot we present the concept of topological recursion a new, surprisingly powerful formalism at the
More informationLittle strings and T-duality
Little strings and T-duality Jungmin Kim (Seoul National University) January 28, 2015 Talk based on [JK., Seok Kim, Kimyeong Lee] in progress. 6d N=(1,1) Little strings Outline NS5-branes in IIB string
More informationBubbling Geometries for Half BPS Wilson Lines. Satoshi Yamaguchi (IHES) S. Yamaguchi, hep-th/ S. Yamaguchi, to appear
Bubbling Geometries for Half BPS Wilson Lines Satoshi Yamaguchi (IHES) S. Yamaguchi, hep-th/0601089 S. Yamaguchi, to appear 1. Overview AdS5 CFT4 AdS5 x S5 Goal deform Supergravity Solutions 4dim N=4 Super
More information