Matter matters in moduli fixing and modular flavor symmetries

Abstract

Modular flavor symmetries provide us with a very compelling approach to the flavor problem. It has been argued that moduli values close to some special values like $\tau =i$ or $\tau =\omega$ provide us with the best fits to data. We point out that the presence of hidden "matter" fields, needed to uplift symmetric AdS vacua, gives rise to a dynamical mechanism that leads to such values of $\tau$.

8 pages + references, 1 figure, 2 tables

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• Modular Invariant Slow Roll Inflation
• Flavor's Delight
• Modular flavored dark matter
• Natural solution of SUSY $\mu$ problem from modulus stabilization in modular flavor model
• Classification of Modular Symmetries in Type IIB Flux Landscape