Geometric Langlands Twists of N = 4 Gauge Theory from Derived Algebraic Geometry

DOI10.4310/ATMP.2018.V22.N3.A3arXiv1507.03048MaRDI QIDQ6263496

Publication date: 10 July 2015

Abstract: We develop techniques for describing the derived moduli spaces of solutions to the equations of motion in twists of supersymmetric gauge theories as derived algebraic stacks. We introduce a holomorphic twist of N=4 supersymmetric gauge theory and compute the derived moduli space. We then compute the moduli spaces for the Kapustin-Witten topological twists as its further twists. The resulting spaces for the A- and B-twist are closely related to the de Rham stack of the moduli space of algebraic bundles and the de Rham moduli space of flat bundles, respectively. In particular, we find the unexpected result that the moduli spaces following a topological twist need not be entirely topological, but can continue to capture subtle algebraic structures of interest for the geometric Langlands program.

Mathematics Subject Classification ID

Algebraic geometry (14-XX) Quantum theory (81-XX)

This page was built for publication: Geometric Langlands Twists of N = 4 Gauge Theory from Derived Algebraic Geometry

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6263496)