Vertex Operator Algebras and 3d N=4 gauge theories
Kevin Costello, Davide Gaiotto
TL;DR
This paper introduces two mirror constructions of Vertex Operator Algebras related to boundary conditions in 3d N=4 gauge theories, exploring their relations to bulk theories and applications in duality and Langlands programs.
Contribution
It proposes novel mirror constructions of boundary VOAs in 3d N=4 theories and conjectures their connections to bulk properties and duality frameworks.
Findings
Proposed two mirror constructions of boundary VOAs.
Conjectured relations between boundary VOAs and bulk theory properties.
Discussed applications to Symplectic Duality and Geometric Langlands.
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.
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