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Primordial statistical anisotropy generated at the end of inflation

Authors
  • Yokoyama, Shuichiro
  • Soda, Jiro
Type
Published Article
Publication Date
Jul 09, 2011
Submission Date
May 28, 2008
Identifiers
DOI: 10.1088/1475-7516/2008/08/005
Source
arXiv
License
Yellow
External links

Abstract

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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