Vertex Operator Algebras and 3d \( \mathcal{N} \) = 4 gauge theories
Kevin Costello,Davide Gaiotto +1 more
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In this paper, two mirror constructions of Vertex Operator Algebras associated to special boundary conditions in 3d = 4 gauge theories were introduced. And they conjecture various relations between these boundary VOA's and properties of the (topologically twisted) bulk theories.Abstract:
We introduce two mirror constructions of Vertex Operator Algebras associated to special boundary conditions in 3d $$ \mathcal{N} $$
= 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.read more
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A Strong coupling test of S duality
Cumrun Vafa,Edward Witten +1 more
TL;DR: By studying the partition function of N = 4 topologically twisted supersymmetric Yang-Mills on four-manifolds, this paper made an exact strong coupling test of the Montonen-Olive strong-weak duality conjecture.