CHERN-SIMONS HOLONOMIES AND THE APPEARANCE OF QUANTUM GROUPS

被引：108
作者：
GUADAGNINI, E
MARTELLINI, M
MINTCHEV, M
机构：
[1] IST NAZL FIS NUCL,I-56010 PISA,ITALY
[2] CERN,CH-1211 GENEVA 23,SWITZERLAND
[3] UNIV GENEVA,DEPT MATH,CH-1211 GENEVA,SWITZERLAND
来源：
PHYSICS LETTERS B | 1990年 / 235卷 / 3-4期
关键词：
D O I：
10.1016/0370-2693(90)91963-C
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The monodromy representation defined by the quantum holonomies and realized on the physical state space of the Chern-Simons model is investigated. It is shown that this representation naturally extends to a representation of the braid group related to a particular solution of the quantum Yang-Baxter equation. The presence of a hidden quantum group symmetry is established. © 1990.
引用
收藏
页码：275 / 281
页数：7
相关论文
共 50 条
  • [11] Abelian Chern-Simons theory and quantum symmetry
    Grensing, G
    [J]. PHYSICS LETTERS B, 1998, 419 (1-4) : 258 - 262
  • [12] On quantum corrections to Chern-Simons spinor electrodynamics
    Chaichian M.
    Chen W.F.
    Fainberg V.Y.
    [J]. The European Physical Journal C - Particles and Fields, 1998, 5 (3) : 545 - 552
  • [13] TOPOLOGICAL (CHERN-SIMONS) QUANTUM-MECHANICS
    DUNNE, GV
    JACKIW, R
    TRUGENBERGER, CA
    [J]. PHYSICAL REVIEW D, 1990, 41 (02): : 661 - 666
  • [14] Abelian Chern-Simons theory and quantum symmetry
    Grensing, G.
    [J]. Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 419 (01):
  • [15] Quantum Riemann surfaces in Chern-Simons theory
    Dimofte, Tudor
    [J]. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2013, 17 (03) : 479 - 599
  • [16] Quantum modularity and complex Chern-Simons theory
    Dimofte, Tudor
    Garoufalidis, Stavros
    [J]. COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2018, 12 (01) : 1 - 52
  • [17] On quantum corrections to Chern-Simons spinor electrodynamics
    Chaichian, M
    Chen, WF
    Fainberg, VY
    [J]. EUROPEAN PHYSICAL JOURNAL C, 1998, 5 (03): : 545 - 552
  • [18] Chern-Simons duality and the quantum Hall effect
    Balachandran, AP
    Chandar, L
    Sathiapalan, B
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1996, 11 (19): : 3587 - 3608
  • [19] CHERN-SIMONS THEORY AND THE QUANTUM RACAH FORMULA
    De Haro, Sebastian
    Hahn, Atle
    [J]. REVIEWS IN MATHEMATICAL PHYSICS, 2013, 25 (03)
  • [20] A Chern-Simons pandemic
    Miguel Montero
    Angel M. Uranga
    Irene Valenzuela
    [J]. Journal of High Energy Physics, 2017
12345