English

Vertex Operator Algebras and 3d N=4 gauge theories

High Energy Physics - Theory 2019-05-22 v1 Quantum Algebra

Abstract

We introduce two mirror constructions of Vertex Operator Algebras associated to special boundary conditions in 3d N=4 gauge theories. We conjecture various relations between these boundary VOA's and properties of the (topologically twisted) bulk theories. We discuss applications to the Symplectic Duality and Geometric Langlands programs.

Keywords

Cite

@article{arxiv.1804.06460,
  title  = {Vertex Operator Algebras and 3d N=4 gauge theories},
  author = {Kevin Costello and Davide Gaiotto},
  journal= {arXiv preprint arXiv:1804.06460},
  year   = {2019}
}

Comments

40 pages, no figures