Unification of flavor, CP, and modular symmetries

Baur, Alexander; Nilles, Hans Peter; Trautner, Andreas; Vaudrevange, Patrick K. S.

doi:10.1016/j.physletb.2019.03.066

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Unification of flavor, CP, and modular symmetries

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Baur, A., Nilles, H. P., Trautner, A., & Vaudrevange, P. K. S. (2019). Unification of flavor, CP, and modular symmetries. Physics Letters B, 795, 7-14. doi:10.1016/j.physletb.2019.03.066.

Cite as: https://hdl.handle.net/21.11116/0000-0005-4EE8-F

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. (C) 2019 The Author(s). Published by Elsevier B.V.