Dark matter stability at fixed points in a modular $A_4$ symmetry

Abstract

We propose a new mechanism of stabilization for dark matter under fixed points of modular $A_4$ symmetry, thanks to recovering a residual symmetry for each of fixed points at $\tau =\omega ,i,i\times \infty$. We find that a model at $\tau =i$ successfully reproduces the neutrino oscillation data without conflict of the DM stability.

Comments: 22 pages, 1 figure, 4 tables; typos corrected, parameter sets changed