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3-dimensional mirror symmetry

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arxiv 2308.06191 v1 pith:UNHVBYX2 submitted 2023-08-11 math-ph math.AGmath.MPmath.RT

classification math-phmath.AGmath.MPmath.RT
keywords articledimensionalmirrorsymmetryadvancesappearingbranchescoulomb
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This expository article discusses recent advances in understanding 3-dimensional mirror symmetry and the mathematical definitions of the Higgs and Coulomb branches. This is a slightly expanded version of an article appearing in the Notices of the AMS.

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  1. Supersymmetry for brane diagrams and bow varieties

    math.RT 2025-04 conditional novelty 8.0 of 10

    For affine type A bow diagrams, non-emptiness of the associated bow variety is equivalent to supersymmetry of the corresponding brane diagram, which can be checked by a finite set of inequalities.

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