On Goldman bracket for G2 gauge group

被引:2
|
作者
Chowdhury, S. Hasibul Hassan [1 ,2 ]
机构
[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[2] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada
来源
基金
中国国家自然科学基金;
关键词
Wilson; 't Hooft and Polyakov loops; Chern-Simons Theories; Topological Field Theories; FIELD-THEORY;
D O I
10.1007/JHEP02(2016)001
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In this paper, we obtain an infinite dimensional Lie algebra of exotic gauge invariant observables that is closed under Goldman-type bracket associated with monodromy matrices of flat connections on a compact Riemann surface for G(2) gauge group. As a by-product, we give an alternative derivation of known Goldman bracket for classical gauge groups GL(n,), SL(n,), U(n), SU(n), Sp(2n, lk) and SO(n).
引用
收藏
页码:1 / 33
页数:33
相关论文
共 50 条
  • [1] On Goldman bracket for G2 gauge group
    S. Hasibul Hassan Chowdhury
    Journal of High Energy Physics, 2016
  • [2] Homology of the gauge group of exceptional Lie group G2
    Choi, Younggi
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (03) : 699 - 709
  • [3] Evolution of the gauge couplings and Weinberg angle in 5-dimensions for a G2 gauge group
    Khojali, Mohammed Omer
    Cornell, A. S.
    Deandrea, Aldo
    Cacciapaglia, Giacomo
    HIGH ENERGY PARTICLE PHYSICS WORKSHOP 2017, 2017, 889
  • [4] Group Gradings on G2
    Bahturin, Y. A.
    Tvalavadze, M. V.
    COMMUNICATIONS IN ALGEBRA, 2009, 37 (03) : 885 - 893
  • [5] G2 gauge theory at finite tempeture
    Cossu, Guido
    D'Elia, Massimo
    Di Giacomo, Adriano
    Lucini, Biagio
    Pica, Claudio
    JOURNAL OF HIGH ENERGY PHYSICS, 2007, (10):
  • [6] Abelian decomposition method for G2 gauge theory
    W.-C. Su
    The European Physical Journal C - Particles and Fields, 2003, 28 : 147 - 150
  • [7] Abelian decomposition method for G2 gauge theory
    Su, WC
    EUROPEAN PHYSICAL JOURNAL C, 2003, 28 (01): : 147 - 150
  • [8] Casimir scaling in G2 lattice gauge theory
    Liptak, L'udovit
    Olejnik, Stefan
    PHYSICAL REVIEW D, 2008, 78 (07):
  • [9] INTERNAL LABELING AND GROUP G2
    WYBOURNE, BG
    JOURNAL OF MATHEMATICAL PHYSICS, 1972, 13 (04) : 455 - &
  • [10] The Goldman bracket characterizes homeomorphisms
    Gadgil, Siddhartha
    COMPTES RENDUS MATHEMATIQUE, 2011, 349 (23-24) : 1269 - 1272