Generalized Families of QFTs
High Energy Physics - Theory
2026-04-27 v2 Strongly Correlated Electrons
High Energy Physics - Phenomenology
Abstract
RG flows and IR phases of QFTs can be constrained by generalized symmetries and their anomalies. Broken symmetries act on the space of coupling constants of families of theories, and can also have IR-constraining family anomalies. We generalize family anomaly considerations to cases of broken generalized/categorical symmetries, including higher-group and non-invertible symmetries. We consider the anomaly inflow and SymTFTs of such generalized families of QFTs, and their implications for RG flows and constraints on the IR phases. As examples, we apply family anomalies to study the IR phases of QCD-like theories deformed by irrelevant, multi-fermion interactions.
Keywords
Cite
@article{arxiv.2602.09105,
title = {Generalized Families of QFTs},
author = {T. Daniel Brennan and Kenneth Intriligator},
journal= {arXiv preprint arXiv:2602.09105},
year = {2026}
}
Comments
55 pages, 1 figure, plus 1 appendix