  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.
