Moduli inflation from modular flavor symmetries

Abstract

We study slow-roll inflation model controlled by the modular flavor symmetry. In the model, the modulus field plays a role of inflaton and the introduction of the stabilizer field coupled to a modular form in the superpotential produces the inflaton potential. In order to generate the flat direction for the slow-roll inflation, we consider the Kähler potential corrected by the modular form. It is noted that the modulus field perpendicular to the inflaton direction is stabilized during the inflation. The model turns out to be consistent with the current observations and behaves similarly to the $\alpha$-attractor models in some parameter spaces. The inflaton rolls down to the CP-symmetric vacuum at the end of inflation.

arXiv comment45 pages, 19 figures, 2 tables, version to appear in JHEP plus App. D

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• Non-holomorphic modular flavor symmetry and odd weight polyharmonic Maaß form
• Dilaton-axion modular inflation in supergravity
• Inflationary constraints on the moduli-dependent species scale in modular invariant theories