Fields labeled by conjugacy classes of Z3- and S3-gauged finite groups obey non-invertible fusion selection rules with residual automorphism symmetries.
Anomaly-safe discrete groups
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We show that there is a class of finite groups, the so-called perfect groups, which cannot exhibit anomalies. This implies that all non-Abelian finite simple groups are anomaly-free. On the other hand, non-perfect groups generically suffer from anomalies. We present two different ways that allow one to understand these statements.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
On discrete gauging and non-invertible selection rules
Fields labeled by conjugacy classes of Z3- and S3-gauged finite groups obey non-invertible fusion selection rules with residual automorphism symmetries.