2020/08/25 by Elliott, Chris, Yoo, Philsang
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2008.10988
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.