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

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.

References in corpus (5)

• Holomorphic reduction of N=2 gauge theories, Wilson-'t Hooft operators, and S-duality
• Quantum Langlands duality and conformal field theory
• A Note on Quantum Geometric Langlands Duality, Gauge Theory, and Quantization of the Moduli Space of Flat Connections
• Derived smooth stacks and prequantum categories
• A Note on Self-Dual Yang-Mills Theory

Cited by in corpus (2)

• Equivariant localization in factorization homology and applications in mathematical physics I: Foundations
• Equivariant localization in factorization homology and applications in mathematical physics II: Gauge theory applications