Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity
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| Format: | Preprint |
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2025
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| _version_ | 1866918529256652800 |
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| author | Borsten, Leron Kanakaris, Dimitri Kim, Hyungrok |
| author_facet | Borsten, Leron Kanakaris, Dimitri Kim, Hyungrok |
| contents | We construct symmetry topological field theories (SymTFTs) using the sandwich construction of Pulmann-Ševera-Valach that manifest the centre symmetries of Chern-Simons theory and Yang-Mills theory as well as general relativity in the MacDowell-Mansouri formulation. The 'filling' of the sandwich is an AKSZ sigma model whose target space is a Weil algebra, augmented with discrete degrees of freedom given by a choice of topological boundary condition. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_08819 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity Borsten, Leron Kanakaris, Dimitri Kim, Hyungrok High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics 58A50 (Primary) 81T45, 83C47, 81T13 (Secondary) We construct symmetry topological field theories (SymTFTs) using the sandwich construction of Pulmann-Ševera-Valach that manifest the centre symmetries of Chern-Simons theory and Yang-Mills theory as well as general relativity in the MacDowell-Mansouri formulation. The 'filling' of the sandwich is an AKSZ sigma model whose target space is a Weil algebra, augmented with discrete degrees of freedom given by a choice of topological boundary condition. |
| title | Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics 58A50 (Primary) 81T45, 83C47, 81T13 (Secondary) |
| url | https://arxiv.org/abs/2509.08819 |