Higgs and Coulomb branches from vertex operator algebras

Costello, Kevin (0000 0000 8658 0851, Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada) ; Creutzig, Thomas ( Department of Mathematics, University of Alberta, Edmonton, AB, T6G 2G1, Canada) ; Gaiotto, Davide (0000 0000 8658 0851, Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada)

14 March 2019

Abstract: We formulate a conjectural relation between the category of line defects in topologically twisted 3d N $\mathcal{N}$ = 4 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.

Published in: JHEP 1903 (2019) 066