On topological defects in Chern-Simons theory
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910747675590656 |
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| author | Arvanitakis, Alex S. Cole, Lewis T. Demulder, Saskia Thompson, Daniel C. |
| author_facet | Arvanitakis, Alex S. Cole, Lewis T. Demulder, Saskia Thompson, Daniel C. |
| contents | We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras defined by solutions of the modified classical Yang-Baxter equation, and their fusion realizes a semi-group structure with non-invertible elements. From a Hamiltonian perspective, we calculate this fusion using the composition of Lagrangian correspondences within the Weinstein symplectic category. Applications include boundary terms and conditions in $AdS_3$ gravity and higher-spin theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11718 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On topological defects in Chern-Simons theory Arvanitakis, Alex S. Cole, Lewis T. Demulder, Saskia Thompson, Daniel C. High Energy Physics - Theory We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras defined by solutions of the modified classical Yang-Baxter equation, and their fusion realizes a semi-group structure with non-invertible elements. From a Hamiltonian perspective, we calculate this fusion using the composition of Lagrangian correspondences within the Weinstein symplectic category. Applications include boundary terms and conditions in $AdS_3$ gravity and higher-spin theories. |
| title | On topological defects in Chern-Simons theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.11718 |