Moduli trapping mechanism in modular flavor symmetric models

TL;DR

This paper explores how moduli in modular flavor symmetric models are dynamically trapped at enhanced symmetry points through non-perturbative particle production, influencing the effective potential and moduli dynamics.

Contribution

It introduces a mechanism where moduli are trapped at symmetry points via non-perturbative effects, providing analytic estimates and numerical validation.

Findings

Moduli are trapped at enhanced symmetry points.

Non-perturbative particle production influences moduli dynamics.

Analytic estimates align with numerical results.

Abstract

We discuss how the moduli in modular flavor symmetric models dynamically select enhanced symmetry points at which the residual modular symmetry renders extra matter fields massless. The moduli dynamics non-perturbatively produces the extra matter particles, which gives (time-dependent) effective potential that traps the moduli to enhanced symmetry points. We show analytic estimates of particle production rate consistent with numerical results, and the dynamics of moduli based on the analytic estimates.