Aspects of Supergroup Gauge Theory

Abstract

We provide a survey of recent studies of supergroup gauge theory. We first discuss supermatrix model as a zero-dimensional toy model of supergroup gauge theory and its geometric and algebraic characterization. We then focus on four-dimensional Yang--Mills theory with supergroup gauge symmetry and explore its non-perturbative properties, including instanton calculus, Seiberg-Witten geometry, Bethe/gauge correspondence, and its realization with intersecting defects.

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