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This is a Quantitative Study study.

October 3, 2025Open Access

SymTFT actions, Condensable algebras and Categorical anomaly resolutions

Key Points

Investigating symmetry topological field theories reveals connections to gapless symmetry protected topological phases.
Examples show how condensable algebras from the Drinfeld center relate to resolving anomalies via categorical symmetries.
The analysis includes Lagrangian algebras and both group-like and categorical symmetries in the presented examples.
The findings suggest broader implications for understanding symmetry in quantum field theories and their anomalies.

Abstract

We investigate symmetry topological field theories (SymTFTs) of non-abelian and non-invertible symmetries and the different Lagrangian algebras associated with a given Drinfeld center. For several examples we analyze the condensable algebras of the Drinfeld center to identify the intrinsically gapless symmetry protected topological (igSPT) phases. In previous work, the relation between igSPT phases and resolving anomalies by embedding an anomalous symmetry inside a larger fusion category was demonstrated. Here we present more examples of this mechanism that involve both group-like and categorical symmetries.

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Cite This Study

Robbins et al. (Fri,) studied this question.

synapsesocial.com/papers/68e034f7f0e39f13e7fa2fea https://doi.org/https://doi.org/10.48550/arxiv.2509.05408

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