Gravitational Wave Constraints on DBI Inflation

Details Gravitational Wave Constraints on DBI Inflation Gravitational Wave Constraints on DBI Inflation

2007-05-02

arxiv.org/abs/0705.0240v2

JCAP0707:002,2007

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; V2: added references, version as published in JCAP

Scientific paper

10.1088/1475-7516/2007/07/002

An upper bound on the amplitude of the primordial gravitational wave spectrum generated during ultra-violet DBI inflation is derived. The bound is insensitive to the form of the inflaton potential and the warp factor of the compactified dimensions and can be expressed entirely in terms of observational parameters once the volume of the five-dimensional sub-manifold of the throat has been specified. For standard type IIB compactification schemes, the bound predicts undetectably small tensor perturbations with a tensor-scalar ratio $r < 10^{-7}$. This is incompatible with a corresponding lower limit of $r > 0.1 (1-n_s)$, which applies to any model that generates a red spectral index $n_s <1$ and a potentially detectable non-Gaussianity in the curvature perturbation. Possible ways of evading these bounds in more general DBI-type scenarios are discussed and a multiple-brane model is investigated as a specific example.

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