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Modular Flavor Symmetry in Heterotic $E_6$ GUT

Apr 9, 2024, 10:30 AM
30m

Speaker

Hajime Otsuka (Kyushu University)

Description

We discuss a common origin of four-dimensional flavor and CP symmetries in the context of heterotic string theory with standard embedding. We find that the flavor symmetries of fundamental and anti-fundamental representations of $E_6$ gauge group are governed by geometric symmetries of Calabi-Yau threefolds, i.e., the symplectic modular symmetry. Furthermore, the CP symmetry is identified with an outer automorphism of the symplectic modular group of Calabi-Yau threefolds.

Primary author

Hajime Otsuka (Kyushu University)

Co-authors

Tatsuo Kobayashi (Hokkaido University) Keiya Ishiguro (KEK)

Presentation materials