A 2-PARAMETER DEFORMATION OF THE SU (1/1) SUPERALGEBRA AND THE XY QUANTUM CHAIN IN A MAGNETIC-FIELD

被引：35

作者：

HINRICHSEN, H

RITTENBERG, V

机构：

[1] CERN,DIV THEORY,CH-1211 GENEVA 23,SWITZERLAND

[2] UNIV BONN,INST PHYS,W-5300 BONN 1,GERMANY

来源：

PHYSICS LETTERS B | 1992年 / 275卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(92)91601-5

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that the XY quantum chain in a magnetic field is invariant under a two-parameter deformation of the SU(1\1) superalgebra. One is led to an extension of the braid group and the Hecke algebra which reduce to the known ones when the two parameters coincide. The physical significance of the two parameters is discussed.

引用

页码：350 / 354

页数：5

共 14 条

[1] QUANTUM LIE-SUPERALGEBRAS AND Q-OSCILLATORS
CHAICHIAN, M
KULISH, P
[J]. PHYSICS LETTERS B, 1990, 234 (1-2) : 72 - 80
[2] SOME ASPECTS OF QUANTUM GROUPS AND SUPERGROUPS
CORRIGAN, E
FAIRLIE, DB
FLETCHER, P
SASAKI, R
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (04) : 776 - 780
[3] DEMIDOV EE, 1990, PROG THEOR PHYS SUPP, V102, P203
[4] DENNIJS N, 1988, PHASE TRANSITIONS CR, V12
[5] HINRICHSEN H, IN PRESS
[6] KAUFMANN L, EFI9042 PREPR
[7] INTRODUCTION TO LATTICE GAUGE-THEORY AND SPIN SYSTEMS
KOGUT, JB
[J]. REVIEWS OF MODERN PHYSICS, 1979, 51 (04) : 659 - 713
[8] MARTIN P, 1991, RIMS770 PREPR
[9] MULTIPARAMETER QUANTUM GROUPS AND TWISTED QUASI-TRAINGULAR HOPF-ALGEBRAS
RESHETIKHIN, N
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1990, 20 (04) : 331 - 335
[10] ROZANSKY L, YCTPP2091 PREPR

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