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We study the modulus stabilization in an $A_4$ model whose $A_4$ flavorsymmetry is originated from the $S_4$ modular symmetry. We can stabilize themodulus so that the $A_4$ invariant superpotential leads to the realisticlepton masses and mixing angles. We also discuss the phenomenological aspect ofthe present model as a consequence of the modulus stabilization.

$A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry