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Main Authors: Brennan, T. Daniel, Intriligator, Kenneth
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.09105
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author Brennan, T. Daniel
Intriligator, Kenneth
author_facet Brennan, T. Daniel
Intriligator, Kenneth
contents 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 $4d$ QCD-like theories deformed by irrelevant, multi-fermion interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2602_09105
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Generalized Families of QFTs
Brennan, T. Daniel
Intriligator, Kenneth
High Energy Physics - Theory
Strongly Correlated Electrons
High Energy Physics - Phenomenology
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 $4d$ QCD-like theories deformed by irrelevant, multi-fermion interactions.
title Generalized Families of QFTs
topic High Energy Physics - Theory
Strongly Correlated Electrons
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2602.09105