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arxiv: 1811.03958 · v1 · pith:ZW5EC5Q2new · submitted 2018-11-09 · ✦ hep-th · math.AG· math.QA· math.RT

Higgs and Coulomb branches from vertex operator algebras

Kevin Costello , Thomas Creutzig , Davide Gaiotto This is my paper
classification ✦ hep-th math.AGmath.QAmath.RT
keywords theoriesalgebrasoperatorvertexboundarybranchescategoriescategory
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We formulate a conjectural relation between the category of line defects in topologically twisted 3d ${\cal N} = 4$ 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.

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