Unification of flavor, CP, and modular symmetries

By A. Baur, H. Nilles, A. Trautner, Patrick K. S. Vaudrevange. Physics Letters B, 2019

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Abstract Flavor symmetry plays a crucial role in the standard model of particle physics but its origin is still unknown. We develop a new method (based on outer automorphisms of the Narain space group) to determine flavor symmetries within compactified string theory. A picture emerges where traditional (discrete) flavor symmetries, CP -like symmetries and modular symmetries (like T-duality) of string theory combine to unified flavor symmetries. The groups depend on the geometry of compact space and the geographical location of fields in the extra dimensions. We observe a phenomenon of “local flavor groups” with potentially different flavor symmetries for the various sectors of quarks and leptons. This should allow interesting connections to existing bottom-up attempts in flavor model building.

Subfields: Molecular Biology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b9bec245a97151a5567261a029afc764abc5fdff