Finite modular axion and radiative moduli stabilization

Abstract

A bstract We propose a simple setup which can stabilize a modulus field of the finite modular symmetry by the Coleman-Weinberg potential. Our scenario leads to a large hierarchy suppressing instanton-like corrections e 2 πiτ and to a light axion identified as Re τ , where τ is the modulus field. This stabilization mechanism provides the axion solution to the strong CP problem. The potential has a minimum at a large Im τ which suppresses explicit U(1) PQ violation terms proportional to e − 2 π Im τ , and hence the quality of the axion is ensured by the residual symmetry associated with the T -transformation, τ → τ + 1, around the fixed point τ ∼ i∞ .

Topics & Concepts