Abstract
We analyze the possibility of realizing inflation with a subsequent dS vacuum in the Käahler uplifting scenario. The inclusion of several quantum corrections to the 4d effective action evades previous no-go theorems and allows for construction of simple and successful models of string inflation. The predictions of several benchmark models are in accord with current observations, i.e., a red spectral index, negligible non-gaussianity, and spectral distortions similar to the simplest models of inflation. A particularly interesting subclass of models are ``left-rolling" ones, where the overall volume of the compactified dimensions shrinks during inflation. We call this phenomenon ``inflation by deflation" (IBD), where deflation refers to the internal manifold. This subclass has the appealing features of being insensitive to initial conditions, avoiding the overshooting problem, and allowing for observable running α ∼ 0.012 and enhanced tensor-to-scalar ratio r ∼ 10−5. The latter results differ significantly from many string inflation models.
Highlights
We analyze the possibility of realizing inflation with a subsequent de Sitter (dS) vacuum in the Kahler uplifting scenario
The generic AdS minimum of the supergravity scalar potential is uplifted to a dS minimum by the interplay of the flux superpotential and the α 3 correction to the Kahler potential, parameterized by ξ
On the basis of six benchmark models, we provide examples of different realizations of inflation with a dS minimum, even including the GSW correction
Summary
In generic compactifications of type IIB string theory with three-form fluxes and D7-branes the classical 4d Kahler potential for Kahler moduli Ti, i = 1, ..., h1,1, and dilaton S reads [22, 38]. The last equality in eq (2.2) holds for the simple case of a single complex Kahler modulus T = t + iτ , which we assume throughout this paper2 In this case γ is given by the triple self-intersection κ of the two-cycle as γ = 3/4κ. In order to stabilize the remaining Kahler modulus we employ quantum corrections to the Kahler potential as well as non-perturbative contributions to the superpotential. The latter, in our case, is given by n. This, comes at the potential price of unrealistically large gauge group ranks
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