Quantum Geometric Langlands Categories from N = 4 Super Yang-Mills Theory
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911782201720832 |
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| author | Elliott, Chris Yoo, Philsang |
| author_facet | Elliott, Chris Yoo, Philsang |
| contents | We describe the family of supersymmetric twists of $\mathcal N = 4$ super Yang--Mills theory using derived algebraic geometry, starting from holomorphic Chern--Simons theory on $ \mathcal N = 4$ super twistor space. By considering an ansatz for categorical geometric quantization of the family of further twists of a fixed holomorphic twist, we give a quantum field-theoretic synthesis of the categories of twisted D-modules occuring in the quantum geometric Langlands correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_10988 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Quantum Geometric Langlands Categories from N = 4 Super Yang-Mills Theory Elliott, Chris Yoo, Philsang Mathematical Physics High Energy Physics - Theory Quantum Algebra Representation Theory We describe the family of supersymmetric twists of $\mathcal N = 4$ super Yang--Mills theory using derived algebraic geometry, starting from holomorphic Chern--Simons theory on $ \mathcal N = 4$ super twistor space. By considering an ansatz for categorical geometric quantization of the family of further twists of a fixed holomorphic twist, we give a quantum field-theoretic synthesis of the categories of twisted D-modules occuring in the quantum geometric Langlands correspondence. |
| title | Quantum Geometric Langlands Categories from N = 4 Super Yang-Mills Theory |
| topic | Mathematical Physics High Energy Physics - Theory Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2008.10988 |