Vertex Operator Algebras and 3d $$ \mathcal{N} $$ = 4 gauge theories

Abstract We introduce two mirror constructions of Vertex Operator Algebras associated to special boundary conditions in 3d $$ \mathcal{N} $$ 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.

Vertex Operator Algebras and 3d $$ \mathcal{N} $$ = 4 gauge theories Journal Articles