On Atiyah-Segal axioms for Witten-type TQFTs
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915463273906176 |
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| author | Gu, Wei |
| author_facet | Gu, Wei |
| contents | In this paper, we propose a new definition of the trace-map bordism within the Atiyah-Segal framework for Witten-type TQFTs constructed from the topological twist of mass-gapped theories. We demonstrate that these Witten-type TQFTs are unitary under this revised definition and conjecture the self-consistency of the modified bordism category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18615 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Atiyah-Segal axioms for Witten-type TQFTs Gu, Wei High Energy Physics - Theory Algebraic Topology In this paper, we propose a new definition of the trace-map bordism within the Atiyah-Segal framework for Witten-type TQFTs constructed from the topological twist of mass-gapped theories. We demonstrate that these Witten-type TQFTs are unitary under this revised definition and conjecture the self-consistency of the modified bordism category. |
| title | On Atiyah-Segal axioms for Witten-type TQFTs |
| topic | High Energy Physics - Theory Algebraic Topology |
| url | https://arxiv.org/abs/2508.18615 |