Surface Observables, $2$-Knot Invariants, and Nonabelian Electric Fluxes
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914173194076160 |
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| author | Cattaneo, Alberto S. |
| author_facet | Cattaneo, Alberto S. |
| contents | This work introduces a surface observable for nonabelian four-dimensional $BF$ theory with a cosmological term. The surface observable yields new $2$-knot invariants that may extend beyond known examples such as the Alexander invariant. By BV pushforward, the surface observable induces an electric observable in nonabelian Yang-Mills theory, offering a concrete realization of 't~Hooft operators. An application to self-dual Yang-Mills theory is also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13623 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Surface Observables, $2$-Knot Invariants, and Nonabelian Electric Fluxes Cattaneo, Alberto S. High Energy Physics - Theory Mathematical Physics Geometric Topology 81T70 (Primary) 81T13, 57R56 (Secondary) This work introduces a surface observable for nonabelian four-dimensional $BF$ theory with a cosmological term. The surface observable yields new $2$-knot invariants that may extend beyond known examples such as the Alexander invariant. By BV pushforward, the surface observable induces an electric observable in nonabelian Yang-Mills theory, offering a concrete realization of 't~Hooft operators. An application to self-dual Yang-Mills theory is also discussed. |
| title | Surface Observables, $2$-Knot Invariants, and Nonabelian Electric Fluxes |
| topic | High Energy Physics - Theory Mathematical Physics Geometric Topology 81T70 (Primary) 81T13, 57R56 (Secondary) |
| url | https://arxiv.org/abs/2511.13623 |