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arXiv · 2008.10988

Quantum Geometric Langlands Categories from N = 4 Super Yang-Mills Theory

Chris Elliott·Philsang Yoo
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Abstract

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.

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Chris Elliott, Philsang Yoo. 2020-08-25. Quantum Geometric Langlands Categories from N = 4 Super Yang-Mills Theory. https://arxiv.org/abs/2008.10988

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