English

Aspects of Supergroup Gauge Theory

High Energy Physics - Theory 2023-04-20 v2

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.

Keywords

Cite

@article{arxiv.2301.05927,
  title  = {Aspects of Supergroup Gauge Theory},
  author = {Taro Kimura},
  journal= {arXiv preprint arXiv:2301.05927},
  year   = {2023}
}

Comments

78 pages, invited review; typos corrected, refs added