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Open AccessArticle10.1007/jhep01(2016)101

High-scale inflation and the tensor tilt

Daniel Baumann,Hayden Lee,Guilherme L. Pimentel-2016-01-01-Journal of High Energy Physics
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TL;DRAbstract

In this paper, we explore a novel observational signature of gravitational corrections during slow-roll inflation. We study the coupling of the inflaton field to higher-curvature tensors in models with a minimal breaking of conformal symmetry. In that case, the most general correction to the tensor two-point function is captured by a coupling to the square of the Weyl tensor. We show that these scenarios lead to a correction to the tilt of the tensor power spectrum and hence a violation of the tensor consistency condition. We arrive at the same conclusion through an analysis in conformal perturbation theory.

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In this paper, we explore a novel observational signature of gravitational corrections during slow-roll inflation. We study the coupling of the inflaton field to higher-curvature tensors in models with a minimal breaking of conformal symmetry. In that case, the most general correction to the tensor two-point function is captured by a coupling to the square of the Weyl tensor. We show that these scenarios lead to a correction to the tilt of the tensor power spectrum and hence a violation of the tensor consistency condition. We arrive at the same conclusion through an analysis in conformal perturbation theory.

Keywords

InflatonConformal mapTensor (intrinsic definition)Weyl tensorTensor densityCosmological perturbation theoryGravitationTensor field

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