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δN Formalism in Anisotropic Inflation and Large Anisotropic Bispectrum and Trispectrum

We present a consistent δN formalism for curvature perturbations in anisotropic cosmological backgrounds. We employ our δN formalism to calculate the power spectrum, the bispectrum and the trispectrum in models of anisotropic inflation with the background gauge fields in Bianchi I universe. Our results coincide exactly with the recent results obtained from in-in formalism. To satisfy the observational constraints the anisotropies generated on power spectrum are kept small but large orientation-dependent non-Gaussianities can be generated. We study the Suyama-Yamaguchi inequality for the amplitudes of the bispectrum and the trispectrum in the presence of anisotropic shapes.

preprint2013arXivOpen access
Ali Akbar AbolhasaniRazieh EmamiJavad T. FirouzjaeeHassan Firouzjahi
astro-ph.COhep-th
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Ali Akbar AbolhasaniRazieh EmamiJavad T. FirouzjaeeHassan Firouzjahi

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