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

Autor:	Elliott, Chris, Yoo, Philsang
Rok vydání:	2015
Předmět:	Mathematical Physics Mathematics - Algebraic Geometry Mathematics - Representation Theory
Druh dokumentu:	Working Paper
DOI:	10.4310/ATMP.2018.v22.n3.a3
Popis:	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. Comment: 55 pages; minor corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1507.03048 Zobrazit plný text záznamu View this record from Arxiv