Primordial statistical anisotropy generated at the end of inflation

Details Primordial statistical anisotropy generated at the end of inflation Primordial statistical anisotropy generated at the end of inflation

2008-05-28

arxiv.org/abs/0805.4265v6

JCAP 0808:005,2008

Astronomy and Astrophysics

Astrophysics

9 pages, This version supersedes the JCAP version. Minor revisions

Scientific paper

10.1088/1475-7516/2008/08/005

We present a new mechanism for generating primordial statistical anisotropy of curvature perturbations. We introduce a vector field which has a non-minimal kinetic term and couples with a waterfall field in hybrid inflation model. In such a system, the vector field gives fluctuations of the end of inflation and hence induces a subcomponent of curvature perturbations. Since the vector has a preferred direction, the statistical anisotropy could appear in the fluctuations. We present the explicit formula for the statistical anisotropy in the primordial power spectrum and the bispectrum of curvature perturbations. Interestingly, there is the possibility that the statistical anisotropy does not appear in the power spectrum but does appear in the bispectrum. We also find that the statistical anisotropy provides the shape dependence to the bispectrum.

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