Altas Energías

Flavor from Geometry: Modular Flavor Symmetry from Bottom-Up Phenomenology to String Theory

by Dr. Xiang-Gan Liu (IFUNAM)

Wednesday, 30 September 2026 from to (Mexico/General)
at IFUNAM ( Sandoval Vallarta )
Description

Understanding the origin of fermion mass hierarchies and CP violation remains a fundamental challenge in particle physics. Target-space modular symmetries offer an elegant resolution by replacing intricate flavon sectors with geometric moduli, elevating Yukawa couplings to modular forms. In this talk, I will review the bottom-up formulation and discuss its systematic extensions and rich phenomenological applications, including near-critical flavor textures, neutrino masses, and the Strong CP problem. I will then trace their top-down origin in string theory through eclectic flavor symmetries, which arise directly from the intrinsic geometric symmetries of the compact space and systematically unify traditional flavor and modular transformations. Finally, I will briefly touch upon recent developments and open questions.

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https://unam.zoom.us/j/85882180732?pwd=T39BbcRraaKaHtSlhwv1RJZ6Oaza3P.1

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