QUANTUM DEFORMED POINCARE ALGEBRA ON A 2-DIMENSIONAL LATTICE

被引:0
|
作者
GOMEZ, C
RUEGG, H
ZAUGG, P
机构
[1] Dept. de Phys. Theorique, Geneva Univ.
来源
关键词
D O I
10.1088/0305-4470/27/23/023
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose a definition of a Poincare algebra for a two-dimensional spacetime with one discretized dimension. This algebra has the structure of a Hopf algebra. We use the link between Onsager's uniformization of the Ising model and the dispersion relation of a free particle in this spacetime, together with the rapidity representation of the quantum deformation of the Poincare enveloping algebra.
引用
收藏
页码:7805 / 7810
页数:6
相关论文
共 50 条
  • [1] A TRIANGULAR DEFORMATION OF THE 2-DIMENSIONAL POINCARE ALGEBRA
    KHORRAMI, M
    SHARIATI, A
    ABOLHASSANI, MR
    AGHAMOHAMMADI, A
    MODERN PHYSICS LETTERS A, 1995, 10 (11) : 873 - 883
  • [2] QUANTUM POINCARE SECTIONS FOR 2-DIMENSIONAL BILLIARDS
    CRESPI, B
    PEREZ, G
    CHANG, SJ
    PHYSICAL REVIEW E, 1993, 47 (02): : 986 - 991
  • [3] QUANTUM POINCARE COVARIANCE OF 2-DIMENSIONAL STRING
    BARDEEN, WA
    BARS, I
    HANSON, AJ
    PECCEI, RD
    PHYSICAL REVIEW D, 1976, 14 (08) : 2193 - 2196
  • [4] THE 2-DIMENSIONAL QUANTUM EUCLIDEAN ALGEBRA
    SCHUPP, P
    WATTS, P
    ZUMINO, B
    LETTERS IN MATHEMATICAL PHYSICS, 1992, 24 (02) : 141 - 145
  • [5] THE QUANTUM 2-DIMENSIONAL POINCARE GROUP FROM QUANTUM GROUP CONTRACTION
    ZAUGG, P
    JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (03) : 1547 - 1553
  • [6] THE 2-DIMENSIONAL EUCLIDEAN QUANTUM ALGEBRA AT ROOTS OF UNITY
    CICCOLI, N
    GIACHETTI, R
    LETTERS IN MATHEMATICAL PHYSICS, 1995, 34 (01) : 37 - 48
  • [7] Q-DEFORMED POINCARE ALGEBRA
    OGIEVETSKY, O
    SCHMIDKE, WB
    WESS, J
    ZUMINO, B
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 150 (03) : 495 - 518
  • [8] Loop-deformed Poincare algebra
    Mielczarek, Jakub
    EPL, 2014, 108 (04)
  • [9] DEFORMED OSCILLATOR ALGEBRAS FOR 2-DIMENSIONAL QUANTUM SUPERINTEGRABLE SYSTEMS
    BONATSOS, D
    DASKALOYANNIS, C
    KOKKOTAS, K
    PHYSICAL REVIEW A, 1994, 50 (05): : 3700 - 3709
  • [10] REPRESENTATIONS OF THE QUANTUM ALGEBRA SUQ(2) ON A REAL 2-DIMENSIONAL SPHERE
    RIDEAU, G
    WINTERNITZ, P
    JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (12) : 6030 - 6044