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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2508.16721 |
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| _version_ | 1866917228095471616 |
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| author | Arias-Tamargo, Guillermo Hutt, Maxwell L. Velásquez Cotini |
| author_facet | Arias-Tamargo, Guillermo Hutt, Maxwell L. Velásquez Cotini |
| contents | We analyse the global symmetry structure of two-dimensional Non-Linear Sigma Models with Wess-Zumino term. When the target space has a compact isometry without fixed points, the theory has a pair of (group-like) global symmetries and many such theories also have non-invertible symmetries. We describe how the topology of the target space and Wess-Zumino term determine whether the group-like symmetries are continuous or discrete, and study their pure and mixed 't Hooft anomalies. We also revisit the construction of the non-invertible symmetries, which are associated with possible self-dualities under discrete gauging, and show how the global symmetry structure is left invariant by this gauging. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetries, anomalies, and dualities of two-dimensional Non-Linear Sigma Models Arias-Tamargo, Guillermo Hutt, Maxwell L. Velásquez Cotini High Energy Physics - Theory We analyse the global symmetry structure of two-dimensional Non-Linear Sigma Models with Wess-Zumino term. When the target space has a compact isometry without fixed points, the theory has a pair of (group-like) global symmetries and many such theories also have non-invertible symmetries. We describe how the topology of the target space and Wess-Zumino term determine whether the group-like symmetries are continuous or discrete, and study their pure and mixed 't Hooft anomalies. We also revisit the construction of the non-invertible symmetries, which are associated with possible self-dualities under discrete gauging, and show how the global symmetry structure is left invariant by this gauging. |
| title | Symmetries, anomalies, and dualities of two-dimensional Non-Linear Sigma Models |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.16721 |