Aspects of supergroup gauge theory

被引:5
|
作者
Kimura, Taro [1 ]
机构
[1] Univ Bourgogne, Inst Math Bourgogne, CNRS, Dijon, France
关键词
Supersymmetry; supergroup; gauge theory; matrix model; FINITE-DIMENSIONAL REPRESENTATIONS; QUIVER VARIETIES; CHERN-SIMONS; FIELD-THEORIES; QUANTUM; SUPERCONNECTIONS; SYMMETRIES; INSTANTONS; OPERATORS; EQUATION;
D O I
10.1142/S0217751X23300016
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
In this paper, provide a survey of recent studies of supergroup gauge theory. We first discuss the 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 nonperturbative properties, including instanton calculus, Seiberg-Witten geometry, Bethe/gauge correspondence, and its realization with intersecting defects.
引用
收藏
页数:75
相关论文
共 50 条
  • [31] Canonical aspects of pregeometric vector-based first order gauge theory
    Gallagher, Priidik
    PHYSICAL REVIEW D, 2024, 110 (08)
  • [32] Some aspects of braided geometry: differential calculus, tangent space, gauge theory
    Akueson, P
    Gurevich, D
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (23): : 4183 - 4197
  • [33] Note on the gauge fixing in gauge theory
    Fujikawa, K
    Terashima, H
    NUCLEAR PHYSICS B, 2000, 577 (1-2) : 405 - 415
  • [34] Gauge theories beyond gauge theory
    Wess, J
    NONCOMMUTATIVE STRUCTURES IN MATHEMATICS AND PHYSICS, 2001, 22 : 1 - 11
  • [35] TANGENT-BUNDLE APPROACH FOR THE FACTORIZATION OF GAUGE-THEORIES IN A SUPERGROUP MANIFOLD
    FOUSSATS, A
    LAURA, R
    ZANDRON, O
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1986, 92 (01): : 13 - 22
  • [36] CLASSICAL AND QUANTUM ASPECTS OF FIVE-DIMENSIONAL CHERN-SIMONS GAUGE THEORY
    Hu, Sen
    Hu, Zhi
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2014, 29 (01):
  • [37] Renormalization aspects of Super Yang-Mills theory in the Wess-Zumino gauge
    Capri, M. A. L.
    Granado, D. R.
    Guimaraes, M. S.
    Justo, I. F.
    Mihaila, L.
    Sorella, S. P.
    Vercauteren, D.
    EUROPEAN PHYSICAL JOURNAL C, 2014, 74 (04): : 1 - 9
  • [39] General Aspects of Gauge Mediation
    Buican, M.
    SUSY09: THE 17TH INTERNATIONAL CONFERENCE ON SUPERSYMMETRY AND THE UNIFICATION OF FUNDAMENTAL INTERACTIONS, 2009, 1200 : 553 - 559
  • [40] ALGEBRAIC ASPECTS OF GAUGE THEORIES
    Zharinov, V. V.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2014, 180 (02) : 942 - 957