Large Volume String Large Volume String Compactifications Compactifications hep-th/0505076, 0509012, 0605141, 0609180, hep-ph/0512081 and to hep-th/0505076, 0509012, 0605141, 0609180, hep-ph/0512081 and to appear appear F. Quevedo, Cambridge. UKBSM Liverpool 2007 (J. Conlon, K. Suruliz, D. Cremades, S. Abdussalam, B. Allanach, S. Kom, V.Balasubramanian, P. Berglund, …)
Large Volume String Compactifications. hep-th/0505076, 0509012, 0605141, 0609180, hep-ph/0512081 and to appear. F. Quevedo, Cambridge. UKBSM Liverpool 2007 (J. Conlon, K. Suruliz, D. Cremades, S. Abdussalam, B. Allanach, S. Kom, V.Balasubramanian, P. Berglund, …). OUTLINE. - PowerPoint PPT Presentation
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Large Volume String Large Volume String CompactificationsCompactifications
hep-th/0505076, 0509012, 0605141, 0609180, hep-ph/0512081 and to appearhep-th/0505076, 0509012, 0605141, 0609180, hep-ph/0512081 and to appear
F. Quevedo, Cambridge. UKBSM Liverpool 2007(J. Conlon, K. Suruliz, D. Cremades, S. Abdussalam,B. Allanach, S. Kom, V.Balasubramanian, P. Berglund, …)
OUTLINEOUTLINE
Moduli Stabilisation and the String Moduli Stabilisation and the String LandscapeLandscapeExponentially Large VolumesExponentially Large VolumesSUSY Breaking SUSY Breaking (LHC Phenomenology)(LHC Phenomenology)
Scalar Potential:Scalar Potential: V= e V= eKK |D |DaaW|W|22 MinimumMinimum D DaaW = 0 W = 0 Fixes UFixes Uaa and S and S T moduli unfixed: T moduli unfixed: No-Scale modelsNo-Scale models
Size of cycle a = USize of cycle a = Uaa
GKPGKP
To fix KTo fix Kähler moduli: Non-perturbative D7 effectsähler moduli: Non-perturbative D7 effects
FluxesFluxes Non-perturbativeNon-perturbative
VolumeVolume
SUSY AdS minimumSUSY AdS minimum
(W(W00 << 1) << 1)
Lifting to de Sitter (add anti D3 branes, D-terms, etc.)Lifting to de Sitter (add anti D3 branes, D-terms, etc.)
SUSY breaking termSUSY breaking term
KKLT, BKQ, SS,…KKLT, BKQ, SS,…
VV
axionaxion volumevolume
The LandscapeThe Landscape
Huge number of Huge number of discrete vacua >10discrete vacua >10500500
StatisticsStatisticsRandall-Sundrum Randall-Sundrum warping from strings!warping from strings!Non SUSY de SitterNon SUSY de SitterDark energy?Dark energy?
AD, DD, AD, DD, GKTT,CQ,BGHLWGKTT,CQ,BGHLW
GKPGKP
BPBP
Exponentially Large VolumesExponentially Large Volumes
Exponentially Large VolumesExponentially Large Volumes
At least two KAt least two Kähler moduli (hähler moduli (h2121>h>h1111>1)>1)
Perturbative corrections to KPerturbative corrections to K
InflationInflationNeed to compute scalar potential from String Need to compute scalar potential from String theory satisfying slow-roll conditions:theory satisfying slow-roll conditions:
Number of e-folds N>60
Density perturbations
Inflation and Moduli StabilisationInflation and Moduli Stabilisation
First explicit inflation realisations in string theoryFirst explicit inflation realisations in string theory
Fine tuning 1/1000 or large fluxes ?Fine tuning 1/1000 or large fluxes ?
KKähler Moduli Inflationähler Moduli Inflation
Calabi-Yau: h2121>>h1111>2
volume τn
V
Conlon-FQ Conlon-FQ
Bond-Kofman-ProkushkinBond-Kofman-Prokushkin
Small field inflationNo fine-tuning!!0.960<n<0.967
GUT scale Ms?, Loops?GUT scale Ms?, Loops?
Other Cosmological ImplicationsOther Cosmological ImplicationsCosmological moduli problemCosmological moduli problem
Observational implications of light volume Observational implications of light volume modulus?modulus?
U,S: trapped at their minimumU,S: trapped at their minimumT: except for volume, heavy ad decay fast ! (No T: except for volume, heavy ad decay fast ! (No
CMP nor gravitino overproduction)CMP nor gravitino overproduction)Volume: (mass MeV) CMP (thermal inflation?). Volume: (mass MeV) CMP (thermal inflation?).
Exciting times for string phenomenology!Exciting times for string phenomenology!Soft terms calculable for first time rich Soft terms calculable for first time rich phenomenologyphenomenologyIntermediate scale strings: hierarchy, QCD Intermediate scale strings: hierarchy, QCD axions, neutrino masses axions, neutrino masses (Conlon, Conlon+Cremades)(Conlon, Conlon+Cremades)
Concrete models of inflationConcrete models of inflationModel independent light modulusModel independent light modulusMany open questionsMany open questions(A fully realistic model?)(A fully realistic model?)