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Surveying Inflation and Reheating. Lev Kofman, CITA. Cosmological Landscape: Strings, Gravity and Inflation Seoul, September 2005. “K. listened intently. So the Castle had appointed him land surveyor …” “The Castle” by F.Kafka. Top-down approach to inflation :
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Surveying Inflation and Reheating Lev Kofman, CITA Cosmological Landscape: Strings, Gravity and Inflation Seoul, September 2005 “K. listened intently. So the Castle had appointed him land surveyor …” “The Castle” by F.Kafka
Top-downapproach to inflation: seeks to embed it in fundamental theory Bottom-up approach to inflation: reconstruction of acceleration trajectories
Early UniverseInflation Scale factor time Realization of Inflation
Particlegenesis time Inflation no entropy no temperature BANG
Resonant Preheating in Chaotic Inflation Classical Quantum Occupation number
Decay of inflaton and preheating after inflation Classical Quantum movie Felder, LK,05
Decay of inflaton and preheating after inflation Classical Quantum
Tachyonic Preheating in Hybrid Inflation l Felder, LK, Linde,01 movie
Initial conditions from Inflation inflation Hot FRW
ModulatedFluctuations Inflationradiation Light field at inflation LK03;Dvali et al,03
Modulated fluctuations in Chaotic Inflation Podolsky, Felder, LK,Peloso hep-ph/0507096
Modulated fluctuations in Hybrid Inflation inhomogeneouswaterfall
4 dimensional Inflation predicts No classical inhomogeneities from the past Scale free gaussian fluctuations of all light scalars No vector perturbations Scalar (almost scale free gaussian) metric perturbations Tensor (scale free gaussian) metric perturbations Creation of all SM particles in preheating/thermalization One inflation helps to ignite another inflation
Inflation in the context of ever changing fundamental theory 1980 -inflation Old Inflation New Inflation Chaotic inflation SUGRA inflation Power-law inflation Double Inflation Extended inflation 1990 Hybrid inflation Assisted inflation SUSY F-term inflation SUSY D-term inflation Brane inflation Super-natural Inflation 2000 SUSY P-term inflation K-flation N-flation DBI inflation inflation Warped Brane inflation Tachyon inflation Racetrack inflation
Search for inflaton with branes in extra dimensions 4-dim picture Prototype of hybrid inflation Dvali,Tye 98
Compactification of inner dimensions with branes Old string theory New phenomenology Strongly warped 5d geometry RS 99
Stabilization of Inner dimensions and moduli in string theory
Realization of String Theory Chaotic Inflation Chaotic inflation Mobile brane
Realization of String Theory Inflation on the ground of KKLT throat warped geometry KKLMMT03 Mobile brane Warped brane inflation Conformal coupling problem Realization of warped brane inflation with conformal inflaton modulated fluctuations scalar field associated with angular position at
Reheating after String Theory Inflation Barnaby, Burgess, Cline, hep-th/0412095 LK, Yi, hep-th/0507257 Frey, Mazumdar, Myers, hep-th/0508139 Chialva, Shiu, Underwood, hep-th/0508229
LK, Yi 05 End point of inflation Closed strings Unstable KK modes BANG SM particles Long-living KK modes related to inner isometries Open strings between branes are unstable
KK story KK particles are thermalized first SM particles are thermalized much later KK from M with isometries are stable No complete decya KK particles freeze out
KK KK SM KK KK
4 dim Inflation in 10dim String Theory predicts All what 4 dim inflation predicts Creation of non-SM particles (KK modes) in reheating/thermalization Short-wavelength gravitational radiation Scale free gaussian fluctuations of many light scalars Modulated cosmological fluctuations String theory Cosmic strings
Fluctuations in Cosmology with Compactification string theorist CY AdS 3+1 FRW
Fluctuations in Cosmology with Compactification string theorist CY cosmologist CY 3+1 FRW AdS 3+1 FRW
Fluctuations in Cosmology with Compactification string theorist CY cosmologist CY 3+1 FRW AdS 3+1 FRW CY +fluctuations Practical cosmologist 3+1FRW +fluctuations
background fluctuations
Summary Theory of cosmological fluctuations in models with extra dimensions Generic properties of fluctuations in 3+1+d dim Instabilities exclude regions of landscape Potential observables: varying couplings/masses, Primordial fluctuations
Scanning Inflation R.Bond, C.Contaldi, A.Frolov, L.Kofman T.Souradeep P.Vandrevange Bottom-up
Ensemble of Inflationary trajectories Chebyshev decomposition Space of models opens wide
Observational constraints on trajectories Markov Chain MonteCarlo
Top-downapproach: no priors “Best fit” model is awkward: features in the potential suppression of scalar mode at large scales large tensor mode Bottom-up: personal priors Non-vanishing probability