论文标题

来自n = 4个超级阳米尔斯理论的量子几何兰兰斯类别

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

论文作者

Elliott, Chris, Yoo, Philsang

论文摘要

我们使用派生的代数几何形状来描述$ \ Mathcal n = 4 $ super yang-mills理论的超对称曲折的家族,从霍洛型chern-simons-simons理论开始。通过考虑对固定全态扭曲的进一步曲折的家族的分类几何量化的ANSATZ,我们给出了量子型langlands中发生的扭曲的D模块类别的量子场理论合成。

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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