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Large Volume String Compactifications

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.

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Large Volume String Compactifications

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  1. 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, …)

  2. OUTLINE • Moduli Stabilisation and the String Landscape • Exponentially Large Volumes • SUSY Breaking (LHC Phenomenology) • Cosmology (Inflation, CMP,…) • Conclusions

  3. Moduli Stabilisation and the String Landscape

  4. The Problem • String/M-Theory unique but has many solutions or vacua. Moduli: • Some solutions resemble the Standard Model and MSSM but moduli unrealistic. • Degeneracy : Discrete + Continuous (SUSY) . • Outstanding Problems: Dilaton S, Kähler T Complex structure U Wilson lines W, Brane separation Y SUSY breaking + Vacuum degeneracy.

  5. KKLT Scenario • Type IIB String on Calabi-Yau • Turn on Fluxes ∫aF3 = n a ∫bH3 = m b SuperpotentialW = ∫ G3ΛΩ, G3 = F3 –iSH3 Scalar Potential: V= eK |DaW|2 Minimum DaW = 0 Fixes Ua and S T moduli unfixed: No-Scale models Size of cycle a = Ua GKP

  6. To fix Kähler moduli: Non-perturbative D7 effects Non-perturbative Fluxes Volume SUSY AdS minimum (W0 << 1)

  7. Lifting to de Sitter (add anti D3 branes, D-terms, etc.) KKLT, BKQ, SS,… SUSY breaking term V axion volume

  8. The Landscape • Huge number of discrete vacua >10500 • Statistics • Randall-Sundrum warping from strings! • Non SUSY de Sitter • Dark energy? AD, DD, GKTT,CQ,BGHLW GKP BP

  9. Exponentially Large Volumes

  10. Exponentially Large Volumes BBCQ, CQS • At least two Kähler moduli (h21>h11>1) • Perturbative corrections to K Example : Exponentially large !

  11. Non SUSY AdS W0~1-10 String scale: Ms2=Mp2/V

  12. KKLT AdS Non SUSY AdS Both minima merge W0~10-10 W0<10-11

  13. SUSY Breaking (LHC Signatures)

  14. The Standard Model in the CY

  15. 4D effective Action Φ moduli, C matter, H Higgs New! Chiral matter in CY Conlon, Cremades, FQ

  16. Soft SUSY Breaking • Large Volume (SM on D3 brane) CQS, AQS Matter on D3 Ms~1013 GeV Gaugino masses ~ 102 GeV, scalars m ~107 GeV Ms=MGUT viable if warping, Ms=Tev `viable’ if SM anti D-brane (but 5th force and cmp?)

  17. Standard Model on D3 BraneTwo General Scenarios • Intermediate Scale Split SUSY • Stringy mSUGRA SM on D3 brane, Ms=1012Gev SM on D3 brane, Ms=1017Gev Do not solve hierarchy problem(?)

  18. Standard Model on D7 Branes • Solve hierarchy problem Mstring = 1011GeV! • W0~1 (no fine tuning) • Kahler potential for chiral matter computed Conlon, Cremades, FQ

  19. Chiral Matter on D7 Branes Soft SUSY Breaking terms Simplest case Conlon et al. • Universality! • No extra CP violation! • Mi = m3/2 / log (Mp/m3/2) • String scale 1011 GeV • Solves hierarchy problem! More general case

  20. Stringy source of universality(approximate) CP Violation Physical phases vanish ! Also: Anomaly mediation suppressed !

  21. From Strings to LHC data • Stabilise Moduli • SUSY broken with hierarchy • “Realistic” Observable sector • Soft SUSY Breaking terms@Ms • RG-Running of Soft terms to TeV (softsusy) • Event Generators (PYTHIA-Herwig) • Detector Simulators (PGS, GEANT) • Data Analysis (Root) • Estimate overall uncertainty

  22. Renormalisation group run Allowed Regions

  23. Low energy spectrum

  24. Some observables

  25. Sources ofuncertainty • Gaugino masses • Spectrum Beyond MSSM

  26. Spectrum uncertainty

  27. Comparison with MSUGRA

  28. Smoking gun? • Gaugino masses • Scalar masses (focus) Large volume MSUGRA Intermediate vs GUT scale !

  29. Cosmology (Inflation, Cosmological moduli problem, etc.)

  30. Inflation • Need to compute scalar potential from String theory satisfying slow-roll conditions: Number of e-folds N>60 Density perturbations

  31. Inflation and Moduli Stabilisation • Brane-antibrane inflation (also DBI) • Racetrack inflation First explicit inflation realisations in string theory Fine tuning 1/1000 or large fluxes ?

  32. Kähler Moduli Inflation Conlon-FQ Bond-Kofman-Prokushkin Calabi-Yau: h21>h11>2 Small field inflation No fine-tuning!! 0.960<n<0.967 V τn volume GUT scale Ms?, Loops?

  33. Other Cosmological Implications • Cosmological moduli problem • Observational implications of light volume modulus? U,S: trapped at their minimum T: except for volume, heavy ad decay fast ! (No CMP nor gravitino overproduction) Volume: (mass MeV) CMP (thermal inflation?). Dark matter? X-rays,Gamma rays, e+-e- (511 KeV?)

  34. CONCLUSIONS • Exciting times for string phenomenology! • Soft terms calculable for first time rich phenomenology • Intermediate scale strings: hierarchy, QCD axions, neutrino masses (Conlon, Conlon+Cremades) • Concrete models of inflation • Model independent light modulus • Many open questions (A fully realistic model?) (String Vacuum Project (SVP)?)

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