Speaker
Description
Selection rules are fundamental principles in quantum systems and quantum field theory, determining whether certain couplings are allowed or forbidden. Conventionally, selection rules are associated with conservation laws originating from a certain group-like symmetry. However, it has been found that non-invertible selection rules also appear in quantum field theory and string theory. In this talk, I will discuss an application of non-invertible selection rules, derived from a fusion algebra, to particle physics, specifically, the flavor structure of quarks and leptons [1,2,3]. I will also introduce such non-invertible selection rules in type II intersecting/magnetized D-brane models [4] and heterotic string theory on Calabi–Yau threefolds [5].
References:
[1] T. Kobayashi, H. Otsuka and M. Tanimoto, Yukawa textures from non-invertible symmetries, JHEP 12 (2024) 117.
[2] T. Kobayashi, Y. Nishioka, H. Otsuka and M. Tanimoto, More about quark Yukawa textures from selection rules without group actions, JHEP 05 (2025) 177.
[3] T. Kobayashi, H. Okada, and H. Otsuka, Radiative neutrino mass models from non-invertible selection rules, 2505.14878 [hep-ph].
[4] T. Kobayashi and H. Otsuka, Non-invertible flavor symmetries in magnetized extra dimensions, JHEP 11 (2024), 120.
[5] J. Dong, T. Kobayashi, R. Nishida, S. Nishimura and H. Otsuka, Coupling Selection Rules in Heterotic Calabi-Yau Compactifications, 2504.09773 [hep-th].
