Automorphic inflation

Rolf Schimmrigk

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arXiv · 1412.8537

Automorphic inflation

Rolf Schimmrigk

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Abstract

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 $\Gamma$. The dynamics of inflationary models is essentially determined by the choice of the pair $(G,\Gamma)$ and a function $\Phi$ on the group $G$ relative to $\Gamma$. Automorphic inflation provides a natural structure in which the shift symmetry of large field inflation arises as one of generators of $\Gamma$. The model of $j-$inflation is discussed as an example of modular inflation associated to the special linear group.

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Rolf Schimmrigk. 2014-12-30. Automorphic inflation. https://arxiv.org/abs/1412.8537

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