Physics Letters B (Sep 2015)

Automorphic inflation

  • Rolf Schimmrigk

DOI
https://doi.org/10.1016/j.physletb.2015.06.078
Journal volume & issue
Vol. 748, no. C
pp. 376 – 379

Abstract

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A framework of inflation is formulated based on symmetry groups and their associated automorphic functions. In this setting the inflaton multiplet takes values in a curved target space constructed from a continuous group G and a discrete subgroup Γ. The dynamics of inflationary models is essentially determined by the choice of the pair (G,Γ) and a function Φ on the group G. Automorphic inflation provides a natural structure in which the shift symmetry of large field inflation arises as one of generators of Γ. The model of j-inflation is discussed as an example of modular inflation associated with the special linear group.