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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.18490 |
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| _version_ | 1866915756145377280 |
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| author | Grassi, P. A. Landrò, E. M. G. |
| author_facet | Grassi, P. A. Landrò, E. M. G. |
| contents | We apply the intertwiner operator method of arXiv:2411.08865 to topological field theories, including BF theories, Chern-Simons theory, and three-dimensional gravity. We construct the operator on foliated manifolds while preserving covariance on the Cauchy surface, and compare canonical and holomorphic quantization, providing the intertwiner in both frameworks. For three-dimensional gravity, we present both covariant and time-gauge formulations, analyze the constraints, and construct the corresponding intertwiner. As an application, we derive the path ordering of Wilson loops in Chern-Simons theory. The study of observables is left for future work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18490 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Intertwiners for D=3 Gauge Theories Grassi, P. A. Landrò, E. M. G. High Energy Physics - Theory We apply the intertwiner operator method of arXiv:2411.08865 to topological field theories, including BF theories, Chern-Simons theory, and three-dimensional gravity. We construct the operator on foliated manifolds while preserving covariance on the Cauchy surface, and compare canonical and holomorphic quantization, providing the intertwiner in both frameworks. For three-dimensional gravity, we present both covariant and time-gauge formulations, analyze the constraints, and construct the corresponding intertwiner. As an application, we derive the path ordering of Wilson loops in Chern-Simons theory. The study of observables is left for future work. |
| title | Intertwiners for D=3 Gauge Theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2601.18490 |