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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.08587 |
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| _version_ | 1866913938331926528 |
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| author | Tagaris, Michail Thuillier, Frank |
| author_facet | Tagaris, Michail Thuillier, Frank |
| contents | In this article, we show that the $\mathrm{U}(1)^n$ Chern-Simons partition functions are related to Reshetikhin-Turaev invariants. In this abelian context, it turns out that the Reshetikhin-Turaev construction that yields these invariants relies on a ``twisted" category rather than a modular one. Furthermore, the Chern-Simons duality of the $\mathrm{U}(1)^n$ partition functions straightforwardly extend to the corresponding Reshetikhin-Turaev invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08587 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reshetikhin-Turaev construction and $\mathrm{U}(1)^n$ Chern-Simons partition function Tagaris, Michail Thuillier, Frank Mathematical Physics High Energy Physics - Theory In this article, we show that the $\mathrm{U}(1)^n$ Chern-Simons partition functions are related to Reshetikhin-Turaev invariants. In this abelian context, it turns out that the Reshetikhin-Turaev construction that yields these invariants relies on a ``twisted" category rather than a modular one. Furthermore, the Chern-Simons duality of the $\mathrm{U}(1)^n$ partition functions straightforwardly extend to the corresponding Reshetikhin-Turaev invariants. |
| title | Reshetikhin-Turaev construction and $\mathrm{U}(1)^n$ Chern-Simons partition function |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.08587 |