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Advances in Astronomy
Volume 2010 (2010), Article ID 752670, 21 pages
Review Article

Non-Gaussianity and Statistical Anisotropy from Vector Field Populated Inflationary Models

1Dipartimento di Fisica “G. Galilei”, Università degli Studi di Padova, via Marzolo 8, 35131 Padova, Italy
2INFN, Sezione di Padova, via Marzolo 8, 35131 Padova, Italy
3CERN, Theory Division, 1211 Geneva 23, Switzerland

Received 22 January 2010; Accepted 12 April 2010

Academic Editor: Eiichiro Komatsu

Copyright © 2010 Emanuela Dimastrogiovanni et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present a review of vector field models of inflation and, in particular, of the statistical anisotropy and non-Gaussianity predictions of models with SU(2) vector multiplets. Non-Abelian gauge groups introduce a richer amount of predictions compared to the Abelian ones, mostly because of the presence of vector fields self-interactions. Primordial vector fields can violate isotropy leaving their imprint in the comoving curvature fluctuations 𝜁 at late times. We provide the analytic expressions of the correlation functions of 𝜁 up to fourth order and an analysis of their amplitudes and shapes. The statistical anisotropy signatures expected in these models are important and, potentially, the anisotropic contributions to the bispectrum and the trispectrum can overcome the isotropic parts.