Higgs and Coulomb branches from vertex operator algebras
High Energy Physics - Theory
2018-11-12 v1 Algebraic Geometry
Quantum Algebra
Representation Theory
Abstract
We formulate a conjectural relation between the category of line defects in topologically twisted 3d supersymmetric quantum field theories and categories of modules for Vertex Operator Algebras of boundary local operators for the theories. We test the conjecture in several examples and provide some partial proofs for standard classes of gauge theories.
Keywords
Cite
@article{arxiv.1811.03958,
title = {Higgs and Coulomb branches from vertex operator algebras},
author = {Kevin Costello and Thomas Creutzig and Davide Gaiotto},
journal= {arXiv preprint arXiv:1811.03958},
year = {2018}
}
Comments
57 pages, 8 figures