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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.20441 |
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| _version_ | 1866912603442249728 |
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| author | Arias-Tamargo, Guillermo Hull, Chris Hutt, Maxwell L. Velásquez Cotini |
| author_facet | Arias-Tamargo, Guillermo Hull, Chris Hutt, Maxwell L. Velásquez Cotini |
| contents | We study the role of categorical symmetries in constraining the renormalisation of couplings in two-dimensional non-linear sigma models with Wess-Zumino term. A large class of these theories admit self-duality symmetries associated with discrete gauging and T-duality. They are generically non-conformal, but we argue that a particular coupling is protected from quantum corrections by the categorical symmetry. We give strong evidence for this claim by showing that the $β$-function for this coupling vanishes to 2-loop order if and only if this symmetry is present. Furthermore, in cases where the target space is a group manifold, the non-renormalisation result can be proven to hold non-perturbatively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20441 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-renormalisation of coupling constants from categorical symmetries in two dimensions Arias-Tamargo, Guillermo Hull, Chris Hutt, Maxwell L. Velásquez Cotini High Energy Physics - Theory Strongly Correlated Electrons We study the role of categorical symmetries in constraining the renormalisation of couplings in two-dimensional non-linear sigma models with Wess-Zumino term. A large class of these theories admit self-duality symmetries associated with discrete gauging and T-duality. They are generically non-conformal, but we argue that a particular coupling is protected from quantum corrections by the categorical symmetry. We give strong evidence for this claim by showing that the $β$-function for this coupling vanishes to 2-loop order if and only if this symmetry is present. Furthermore, in cases where the target space is a group manifold, the non-renormalisation result can be proven to hold non-perturbatively. |
| title | Non-renormalisation of coupling constants from categorical symmetries in two dimensions |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.20441 |