3D-3D Correspondence from Seifert Fibering Operators
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866929716081983488 |
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| author | Fan, Yale |
| author_facet | Fan, Yale |
| contents | Using recently developed Seifert fibering operators for 3D $\mathcal{N} = 2$ gauge theories, we formulate the necessary ingredients for a state-integral model of the topological quantum field theory dual to a given Seifert manifold under the 3D-3D correspondence, focusing on the case of Seifert homology spheres with positive orbifold Euler characteristic. We further exhibit a set of difference operators that annihilate the wavefunctions of this TQFT on hyperbolic three-manifolds, generalizing similar constructions for lens space partition functions and holomorphic blocks. These properties offer intriguing clues as to the structure of the underlying TQFT. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_13202 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | 3D-3D Correspondence from Seifert Fibering Operators Fan, Yale High Energy Physics - Theory Using recently developed Seifert fibering operators for 3D $\mathcal{N} = 2$ gauge theories, we formulate the necessary ingredients for a state-integral model of the topological quantum field theory dual to a given Seifert manifold under the 3D-3D correspondence, focusing on the case of Seifert homology spheres with positive orbifold Euler characteristic. We further exhibit a set of difference operators that annihilate the wavefunctions of this TQFT on hyperbolic three-manifolds, generalizing similar constructions for lens space partition functions and holomorphic blocks. These properties offer intriguing clues as to the structure of the underlying TQFT. |
| title | 3D-3D Correspondence from Seifert Fibering Operators |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2008.13202 |