1. Preheating after Inflation Lev Kofman KITPC November 14, 2007 Preheating with QFT Cosmological fluctuatons from Preheating Reheating with String Theory

2. Early Universe Inflation Scale factor time Realization of Inflation

3. Particlegenesis time Inflation no entropy no temperature BANG

5. Output of Preheating

6. Schwinger formula for particle creation Scalar ED classical Quantum

7. Occupation number Classical Quantum Resonant Preheating in Chaotic Inflation

9. Method od successive scatterings

10. Resonant Preheating in Chaotic Inflation

13. Classical Quantum Decay of inflaton and preheating after inflation movie Felder, LK, 06

14. Classical Quantum Decay of inflaton and preheating after inflation movie Felder, LK hep-ph/0606256

15. Classical Quantum Decay of inflaton and preheating after inflation

18. preheating exp excitation Kolmogorov turbulence of bosons thermalization Non-linear “bubbly” stage

19. Evolutionof energy density Evolution of gravitational potential l A. Frolov 07

20. Three-linear interaction In expanding universe complete inflaton decay requires 3-legs interactions Broad Parametric Resonance Tachyonic Resonance

21. Above the barrier Below the barrier

22. SUSY Four-legs dominates at preheating Three- vs four-legs Three-legs dominates after preheating

23. Preheating of fermions

24. Tachyonic Preheating in Hybrid Inflation l movie

26. Tachyonic Preheating

29. time Hubble radius end of inflation recombination

30. inflation Hot FRW Initial conditions from Inflation

31. Light field at inflation

32. Modulated Fluctuations Light field at inflation develops fluctuations Inflation radiation

33. Modulated fluctuations in Hybrid Inflation inhomogeneous waterfall Bernardeau, LK, Uzan 03

34. throat warped geometry Mobile brane modulated fluctuations scalar field associated with angular position at

36. Kahler moduli Inflation (Conlon&Quevedo hep-th/050912) Roulette Inflation-Kahler moduli/axion (Bond, LK, Prokushkin&Vandrevange hep-th/0612197)

37. 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 Chen, Tye, hep-th/05120000; 0602136 Dufaux, LK, Peloso 07

38. Realization of String Theory Hybrid Inflation throat warped geometry Mobile brane Warped brane inflation 4-dim picture Prototype of hybrid inflation

39. Open strings between branes are unstable End point of inflation BANG SM particles Closed strings Unstable KK modes Long-living KK modes related to inner isometries LK, Yi 05

41. KK story KK particles are thermalized first SM particles are thermalized much later KK from M with isometries are stable No complete decay KK particles freeze out

42. string theorist Practical cosmologist CY AdS CY +fluctuations 3+1 FRW 3+1 FRW +KK gas Fluctuations in Cosmology with Compactification CY cosmologist KK atom

43. metric wave equation for KK mode Throat geometry “big” CY

44. KK modes interactions kk H H

46. KK SM

47. resolution? Attachment of KS throat to a compact CY Induces symmetry breaking perturbations. Tip of KS throat is a particular case of Sasaki-Einstein manifolds. There are asymmetric SE manifolds, but no examples of asymmetric throats

48. Impact of isometry breaking perturbation on KK modes decay Dufaux, LK, Peloso 07

50. Decay of KK modes into SM particles