Moore-Tachikawa Varieties: Beyond Duality
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909868487606272 |
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| author | Pasquarella, Veronica |
| author_facet | Pasquarella, Veronica |
| contents | We propose a generalisation of the Moore-Tachikawa varieties for the case in which the target category of the 2D TFT is a hyperk$\ddot{\text{a}}$hler quotient. The setup requires generalising the bordism operators of Moore and Segal to the case involving lack of reparametrisation-invariance on the Riemann surface, ultimately enabling to relate this to the issue of defining a Drinfeld center for composite class ${\cal S}$ theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01489 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Moore-Tachikawa Varieties: Beyond Duality Pasquarella, Veronica High Energy Physics - Theory Mathematical Physics Algebraic Geometry Symplectic Geometry We propose a generalisation of the Moore-Tachikawa varieties for the case in which the target category of the 2D TFT is a hyperk$\ddot{\text{a}}$hler quotient. The setup requires generalising the bordism operators of Moore and Segal to the case involving lack of reparametrisation-invariance on the Riemann surface, ultimately enabling to relate this to the issue of defining a Drinfeld center for composite class ${\cal S}$ theories. |
| title | Moore-Tachikawa Varieties: Beyond Duality |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2310.01489 |