On discrete gauging and non-invertible selection rules

2025/07/03 by Dong, Jun, Jeric, Tim, Kobayashi, Tatsuo +2 · 9 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2507.02375

Abstract

We clarify selection rules of conjugacy classes of several finite discrete groups where we deal with both gauged and ungauged cases. We find that the selection rules enjoy finite Abelian or non-Abelian discrete symmetries originating from the inner and/or outer automorphism of underlying discrete groups. Since the selection rules of conjugacy classes do not obey conventional group-like selection rules, they open up new coupling selection rules of fields which are labeled by the conjugacy classes.

Citations

• Radiative lepton seesaw model in a non-invertible fusion rule and gauged B-L symmetry
• Matter symmetries in supersymmetric standard models from non-invertible selection rules
• Radiative neutrino mass models from non-invertible selection rules
• Lepton mass textures from non-invertible multiplication rules
• Non-invertible symmetry as an axion-less solution to the strong CP problem
• Coupling Selection Rules in Heterotic Calabi-Yau Compactifications
• Phenomenological implications of a class of non-invertible selection rules
• More about quark Yukawa textures from selection rules without group actions
• Yukawa textures from non-invertible symmetries
• Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem
• On the Fate of Stringy Non-Invertible Symmetries
• What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
• ICTP Lectures on (Non-)Invertible Generalized Symmetries
• Neutrino Masses from Generalized Symmetry Breaking
• Non-Invertible Chiral Symmetry and Exponential Hierarchies
• Non-invertible Global Symmetries in the Standard Model
• Anomaly-safe discrete groups
• Classical and quantum conformal field theory

Cited by

• The Minimal Supersymmetric Standard Model with Non-Invertible Selection Rules
• Generalized CP from non-invertible selection rules
• Conformal Bootstrap with Duality-Inspired Fusion Rule
• Spurion Analysis of ℤ_M/ℤ₂ Non-Invertible Selection Rules: Low-Order versus All-Order Zeros
• Texture-zeros in minimal seesaw from non-invertible symmetry fusion rules
• Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds
• Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions
• Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model
• No-group Scotogenic Model

Related

• Generalized CP from non-invertible selection rules
• Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds
• The influence of conjugacy class sizes on the structure of finite groups: a survey
• Twisted conjugacy and separability
• Conjugacy in finite classical groups