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Inflationary Constraints on Type IIA String Theory
| Venue: | Rev. D |
| Citations: | 17 - 1 self |
BibTeX
@TECHREPORT{Hertzberg_inflationaryconstraints,
author = {Mark P. Hertzberg and Shamit Kachru and Washington Taylor and Max Tegmark},
title = {Inflationary Constraints on Type IIA String Theory},
institution = {Rev. D},
year = {}
}
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Abstract
We prove that inflation is forbidden in the most well understood class of semi-realistic type IIA string compactifications: Calabi-Yau compactifications with only standard NS-NS 3-form flux, R-R fluxes, D6-branes and O6-planes at large volume and small string coupling. With these ingredients, the first slow-roll parameter satisfies ǫ ≥ 27 13 whenever V> 0, ruling out both inflation (including brane/anti-brane inflation) and de Sitter vacua in this limit. Our proof is based on the dependence of the 4-dimensional potential on the volume and dilaton moduli in the presence of fluxes and branes. We also describe broader classes of IIA models which may include cosmologies with inflation and de Sitter vacua. The inclusion of extra ingredients, such as NS 5-branes and geometric or nongeometric NS-NS fluxes, evades the assumptions used in deriving the no-go theorem. We focus on NS 5-branes and outline how such ingredients may prove fruitful for cosmology, but we do not provide an explicit model. We contrast the results of our IIA analysis with the rather different situation in IIB. Electronic address: mphertz at mit.edu
Keyphrases
inflationary constraint type iia string theory sitter vacuum n 5-branes nongeometric ns-ns flux r-r flux 4-dimensional potential standard ns-ns 3-form flux semi-realistic type iia string compactifications iia model first slow-roll parameter satisfies electronic address brane anti-brane inflation calabi-yau compactifications no-go theorem dilaton modulus extra ingredient explicit model understood class small string coupling iia analysis large volume different situation
