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
  • [1] Intersecting defects and supergroup gauge theory
    Kimura, Taro
    Nieri, Fabrizio
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (43)
  • [2] Topological vertex/anti-vertex and supergroup gauge theory
    Kimura, Taro
    Sugimoto, Yuji
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (04)
  • [3] Cohomological aspects of Abelian gauge theory
    Malik, RP
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (12): : 2437 - 2446
  • [4] CERTAIN ASPECTS OF A GAUGE-THEORY
    KURCHANOV, AF
    JETP LETTERS, 1984, 39 (05) : 272 - 274
  • [5] VARIOUS ASPECTS OF THE TIME GAUGE IN POINCARE GAUGE-THEORY
    BLAGOJEVIC, M
    NIKOLIC, IA
    LETTERE AL NUOVO CIMENTO, 1983, 38 (03): : 77 - 82
  • [6] PERTURBATIVE ASPECTS OF AN ANOMALOUS GAUGE-THEORY
    KIM, WT
    KYE, WH
    CHO, BH
    PARK, DK
    PHYSICAL REVIEW D, 1990, 42 (08): : 2748 - 2751
  • [7] EXPERIMENTAL ASPECTS OF THE ELECTROWEAK GAUGE-THEORY
    CLARK, AG
    TOVEY, SN
    AUSTRALIAN JOURNAL OF PHYSICS, 1986, 39 (02): : 117 - 187
  • [8] Aspects of large N gauge theory dynamics as seen by string theory
    Gross, DJ
    Ooguri, H
    PHYSICAL REVIEW D, 1998, 58 (10):
  • [9] GLOBAL ASPECTS OF THE HARMONIC GAUGE IN BOSONIC STRING THEORY
    FREEDMAN, DZ
    LATORRE, JI
    PILCH, K
    NUCLEAR PHYSICS B, 1988, 306 (01) : 77 - 112
  • [10] Phenomenological aspects of chiral symmetry in lattice gauge theory
    Thomas, AW
    ACTA PHYSICA POLONICA B, 2000, 31 (10-11): : 2529 - 2537