Amjad Ashoorioon (Lancaster University)

Transcription

1 UK Cosmo Meetng London, UK Mrch th, 0 Prehetng n Guged M-fton round the Supersymmetrc Vcuum nd ts Grvtton Wve Sgntures mjd shooroon (Lncster Unversty In coborton wth Brndon Fung (Wteroo Robert B. Mnn (Wteroo Mrus Oten (McG Shhn Sheh-Jbbr (IPM Bsed on wor n progress nd.., H. Frouzjh, M.M. Sheh-Jbbr JCP 0906:08,009, rv:090.8 [hep-th],.., H. Frouzjh, M.M. Sheh-Jbbr JCP 005 (00 00, rv:09.8 [hep-th].., M.M. Sheh-Jbbr, JCP 06 (0 0, rv:0.008 [hep-th].., U.Dnesson, M. M. Sheh-Jbbr, Phys.Lett. B7 (0 5, rv:.7 [hep-th]

2 Introducton Pnc dt strongy supports the de of nfton s the theory of ery unverse nd structure formton. The dt reduces the ower bound on tensor/scr rto,, to 0. %95 whch puts some fvourte modes e n troube, consderng Bunch- Dves vcuum. c.f. shooroon, Dmopouos, Sheh-Jbbr & Shu (0 St ny detecton of the grvty wves bove 0.0 poses theoretc mode-budng chenges for nftonry scenros: o To embed such mode n supergrvty, one hs to nsure the ftness of the theory on sces beyond the mt of vdty of the theory. Lyth (997 Δ / >.06 c.f. Choudhury & Mzumdr (0 0.0 o In supergrvty nd strngy modes of nfton, one usuy fnds the sze of the regon n whch nfton cn hppen to be much smer thn M p Mcster & Bumnn (007 In ths t I w focus on strng theory motvted mode of nfton tht my sove ths probem usng Mtrces s nftons. The mode hs n embedded prehetng mechnsm n some regons whch eds to the producton of hgh frequency grvtton wves.

3 Guged M-fton N C j ˆ κ ε j x D PP-wve bcground 0-d IIB supergrvty bcground ds dx dx mˆ ( x ( dx 8 K dx K dx K, j,, prmeterze out 6 dm to the D-brnes nd K denotes spt dm ong x nd fve trnsverse to the D-brnes. S g (π I J [, ] I gs (6 d x STr gb QJ C F IJ s gs π s 0 M N b GMN b, N 0,,..., 9 ν F ν Myers (999 M I, J,5,..., 9 I J [ ] IJ IJ Q δ, π s, b 0,,,

4 Mtrx Infton from Strng Theory Wth 9 ˆ ˆ κ g s m the bove bcground wth constnt dton s souton to the SUGR ( [ ][ ] [ ] ˆ,. ˆ,, j j s s j j s m g V ε π κ π ( s s g π Upon the fed redefnton [ ][ ] [ ],,, Tr j j j j m V ε κ 8π g s s s g g 8. κ κˆ π ˆ m m From the brne-theory perspectve, t s necessry to choose mˆ nd κˆ such tht 9 ˆ ˆ κ g s m In the strngy pcture, we hve N D-brnes tht re bown up nto snge gnt D5-brne under the nfuence of RR 6-form. The nfton corresponds to the rdus of ths two sphere.

5 Truncton to the SU( Sector: re N N mtrces nd therefore we hve dffcut N scrs. It mes the nyss very Lm s t However from the specfc form of the potent nd snce we hve three, t s possbe to show tht one cn consstenty restrct the cssc dynmcs to sector wth snge scr fed: ˆ φ ( t J,,, J re N dm. rreducbe representton of the SU( gebr: [ J, J j ] ε j J ( N ( Tr J J j N δ j Puggng these to the cton, we hve: S d M ˆ ˆ ˆ φ φ φ P ˆ ˆ x Defnngφ g / ( Tr J ˆ φ R TrJ κ φ m φ to me the netc term cnonc, the potent tes the form Tr ( J Tr ( J V κ m 0( φ φ φ φ Tr J 8, N( N κ κ Tr J κ, N( N

6 nyss of the Guged M-fton round the Snge-Boc Vcuum V ( φ φ ( φ m H-top or Symmetry-Breng nfton, Lnde (99 Lyth & Boubeeur (005 In the strngy pcture, we hve N D-brnes tht re bown up nto gnt D5-brne under the nfuence of RR 6-form. ( ( φ > φ.57 M P φ f 7.07 M P 6 M P (c (b m.07 0 M P (b /< φ < φ.5 M P φ 5.0 M f P 6MP N m M P (c 0 < φ < / φ.5 M P φ.97m f P 6MP φ 0 6 M p m M P

7 Mss Spectrum of χ Specttors ( (b ( N ( N - α -modes Ζ 0 N M α, ( ( φ κ ( m - β -modes M β, ( ( φ κ ( m Degenercy of ech -mode s Ζ N Degenercy of ech -mode s (c N vector modes M, φ ( Degenercy of ech -mode s [( ] N [( ] N [ ] N 5N α modes β modes vector - fed modes

8 C Power Spectr n Symmetry-Breng Infton 0 < φ < / & 6 M P n R 0.96 & P R 0 9 α 6 6κ m φ φ PS α, P R 5. 0 Lm Mcster t r CMBPOL or QUIET shoud be be to verfy ths scenro. Guged M-fton

9 Prtce Creton nd Prehetng Scenro round SUSY Vcuum The bcrecton of the specttor modes on the nfton dynmcs cn become rge when ε, η Ths coud be the bonus of our mode, s specttor modes hep to drn the energy of the nfton, snce ther msses chnge very fst. One cn show tht f nfton ends n the susy-breng vcuum, ths process s not ectve to produce specttor prtces through prmetrc resonnce: M α, β ( φ For nd modes: ( α ( β M && χ H& χ χ 0 φ ( rest msses re rge round susy-breng vcuum. For the guge mode && & H 0 for exmpe for α nd β modes: M χ gϕ gϕ, & << φ g ( g ( No prmetrc resonnce round the susy-breng vcuum

10 Prtce Creton nd Prehetng Scenro round SUSY Vcuum The stuton s qute dfferent round the SUSY vcuum 0, φ β α M 0 0 φ M For rge vues of for α nd β modes nd for vues of for the guge modes 0 >> φ & prmetrc resonnce hppens. 0 q 0 χ / / & & t t & t d d ' ( ϕ ϕ ( ϕ exp( m 0 t t t t exp( m 0 n n &

11 GW producton from Prehetng Prmetrc resonnce t the end of nfton coud be source of grvtton wves. Prmetrc resonnce eds to exponent prtce producton for some specfc moment n Fourer spce, whch eds to rge nhomogenetes n the energy densty of the unverse. h && j & && & 6π G hj h& j hj δ S TT j where δ S j δ T j δj T dgw d n ρ crt dρ d n π H L, j h j,0 ( Ths s n ddton to the stochstc bcground of GW produced durng nfton whch probes the nftonry potent 60 e-fods before the end of nfton. Snce the unverse s trnsprent to grvtton rdton durng ts hstory, they cn be usefu source of nformton from ery unverse.

12 GW producton from Prehetng: Snge Mode We used HLttce (deveoped by Zhq Hung (007 to compute the GW spectrum produced by ndvdu hghest j modes s the prehet fed The grvtton wve from the guge modes domntes over the ones from nd modes.

13 Lrgest j Guge modes Lrgest j bet mode

14 GW producton from Prehetng: Three rgest j Guge Mode The sgn my be seen n HFGW detectors tht probe the GHz bnd Brmnghm HFGW detector or INFN Geno HFGW resonnt ntenn

15 Concusons M-fton cn sove the fne-tunngs ssocted wth chotc nfton coupngs nd produce super-pncn ectve fed excursons durng nfton. M-fton whch s quttvey new thrd venue wthn strng theory nftonry mode-budng usng the ntern mtrx degrees of freedom. the frst two beng open strng nd cosed strng modes Due to Mtrx nture of the feds there woud be mny scr feds n the mode. Ths eds to the producton of socurvture productons t the CMB sces. Due to herrchc mss structure of the socurvture modes, one cn vod the beyond-the-cutoff probem, even f the cutoff s reduced by the presence of the speces..., M.M. Sheh-Jbbr, JCP 06 (0 0, rv:0.008 [hep-th] The oop correctons from the nterctons of the grvton wth the scr fed crete the qudrtcy dvergent, conform mss type term whch eds to the probem, f the UV cutoff of the theory s of order Pnc mss. In M-fton such n nduced term s ntury suppressed..., U.Dnesson, M. M. Sheh-Jbbr, Phys.Lett. B7 (0 5, rv:.7 [hep-th] M-fton hs ntur but-n mechnsm of prehetng to end nfton round the SUSY vcuum. The prmetrc resonnce produces rge GHz frequency grvtton wve spectrum whch coud be seen by utr-hgh frequency grvtton probes.

16 Thn you