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| Format: | Preprint |
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2025
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| Online-Zugang: | https://arxiv.org/abs/2504.06333 |
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| _version_ | 1866909993725329408 |
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| author | Perez-Lona, A. Robbins, D. Roy, S. Sharpe, E. Vandermeulen, T. Yu, X. |
| author_facet | Perez-Lona, A. Robbins, D. Roy, S. Sharpe, E. Vandermeulen, T. Yu, X. |
| contents | In this paper we generalize previous results on anomaly resolution to noninvertible symmetries. Briefly, given a global symmetry G of some theory with a 't Hooft anomaly rendering it ungaugeable, the idea of anomaly resolution is to extend G to a larger anomaly-free symmetry of the same theory with a trivially-acting kernel. In previous work, several of the coauthors demonstrated that in two-dimensional theories, by virtue of decomposition, gauging the larger symmetry is equivalent to a disjoint union of theories in which a nonanomalous subgroup of G is gauged. In this paper, we consider examples in which the larger symmetry is not a group, but instead a noninvertible symmetry defined by some fusion category. In principle the same ideas apply to the case that G itself is noninvertible. We discuss the construction of larger symmetries using both SymTFT methods as well as algebraically via (quasi-)Hopf algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06333 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anomaly resolution by non-invertible symmetries Perez-Lona, A. Robbins, D. Roy, S. Sharpe, E. Vandermeulen, T. Yu, X. High Energy Physics - Theory In this paper we generalize previous results on anomaly resolution to noninvertible symmetries. Briefly, given a global symmetry G of some theory with a 't Hooft anomaly rendering it ungaugeable, the idea of anomaly resolution is to extend G to a larger anomaly-free symmetry of the same theory with a trivially-acting kernel. In previous work, several of the coauthors demonstrated that in two-dimensional theories, by virtue of decomposition, gauging the larger symmetry is equivalent to a disjoint union of theories in which a nonanomalous subgroup of G is gauged. In this paper, we consider examples in which the larger symmetry is not a group, but instead a noninvertible symmetry defined by some fusion category. In principle the same ideas apply to the case that G itself is noninvertible. We discuss the construction of larger symmetries using both SymTFT methods as well as algebraically via (quasi-)Hopf algebras. |
| title | Anomaly resolution by non-invertible symmetries |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.06333 |