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Vertex operator algebras and 3d \( \mathcal{N} = 4 \) gauge theories.(English)Zbl 1416.81185

Summary: 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.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81T45 Topological field theories in quantum mechanics
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis

Cite

References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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