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

Kevin Costello, Davide Gaiotto

Type: Article

Publication Date: 2019-05-01

Citations: 41

DOI: https://doi.org/10.1007/jhep05(2019)018

Abstract

A bstract We introduce two mirror constructions of Vertex Operator Algebras associated to special boundary conditions in 3d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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.

Locations

Journal of High Energy Physics - View - PDF
arXiv (Cornell University) - View - PDF
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