The LARGE Volume Scenario: Realisation and Cosmological Implications M. Cicoli, J. Conlon, FQ, 0708.1873 [hep-th] + to appear J. Conlon, R. Kallosh, A. Linde, FQ, to appear F. Quevedo, Cambridge. Liverpool, March 2008. Related talks: E. Plauschinn and E. Palti
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The LARGE Volume Scenario: Realisation and Cosmological Implications
The LARGE Volume Scenario: Realisation and Cosmological Implications. M. Cicoli, J. Conlon, FQ, 0708.1873 [hep-th] + to appear J. Conlon, R. Kallosh, A. Linde, FQ, to appear. F. Quevedo, Cambridge. Liverpool, March 2008. Related talks: E. Plauschinn and E. Palti. String Phenomenology. - PowerPoint PPT Presentation
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The LARGE Volume Scenario: Realisation and Cosmological
Implications
M. Cicoli, J. Conlon, FQ, 0708.1873 [hep-th] + to appearJ. Conlon, R. Kallosh, A. Linde, FQ, to appear
All branes inflate while two approachAll branes inflate while two approach
Inflaton: Open string mode Inflaton: Open string mode (talks by R. Gregory, M. Haack and H. Stoica)(talks by R. Gregory, M. Haack and H. Stoica)
KAHLER MODULI INFLATION
Candidate Inflatons: Closed string modes
Kahler Moduli (size/axion)
Small modulus inflaton
Kähler 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
Open Questions• Loop effects tend to spoil flatness
• Non tensor perturbations (r=T/S<<<1)?
• Tension phenomenology vs cosmology
Gravitino mass 1 TeV/Gravitino mass >> 1 TeV ??
(string scale 10 11 GeV/ string scale ~ GUT scale)
Low Energy SUSY vs Inflation
• Low scale inflation?
• Runaway before reheating? Conlon, Kallosh, Linde, FQ
Ross et al, …
No Overshooting problem!!!
New Candidate Inflatons
• L=h11-Nsmall-1 `almost’ flat directions are light
• Mass=V-5/3< Volume modulus mass m=V-3/2~H
• Recall η ~ mass2/H Cicoli et al.
After Inflation
Physics of Moduli Fields• Dilaton and Complex
Structure
• Small (heavy) Kahler moduli
• Large (light) Kahler modulus
Moduli masses:
Volume axion m~exp(-V)<<10-33 eV (equality if Mstring=MGUT)!
Summary of couplings
Other Cosmological Implications• Cosmological moduli problem
• Observational implications of light volume modulus?
U,S: trapped at their minimumU,S: trapped at their minimumT: except for volume, heavy and decay fast ! (No T: except for volume, heavy and decay fast ! (No
CMP nor gravitino overproduction)CMP nor gravitino overproduction)Volume: (mass MeV) CMP Volume: (mass MeV) CMP
Gamma rays, e+-e-
J.Conlon, FQJ.Conlon, FQ
DCQR, BKNDCQR, BKN
The 511 keV LineThe 511 keV Line
INTEGRAL/ SPI 511 keV lineINTEGRAL/ SPI 511 keV line
Light Modulus χ: Dark matter?Mass 1MeV, coupling to electrons dominant
511 keV from volume modulus decay? (prediction!)511 keV from volume modulus decay? (prediction!)BUT `almost’ ruled out 2 months ago!!!BUT `almost’ ruled out 2 months ago!!!
Intensity
INTEGRAL
General Picture• Nsmall heavy Kahler moduli (cosmological harmless)
• Volume modulus (CMP + 511 keV line+ predicted monochromatic line!) (see Boyarski et al)