NEW INTEGRABLE DEFORMATIONS OF HIGHER SPIN HEISENBERG-ISING CHAINS

被引:9
作者
GOMEZ, C [1 ]
SIERRA, G [1 ]
机构
[1] CSIC,INST FIS FUNDAMENTAL,MADRID 6,SPAIN
关键词
D O I
10.1016/0370-2693(92)91310-6
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We show that the anisotropic Heisenberg-Ising chains with higher spin allow, for special values of the anisotropy, integrable deformations intimately related to the theory of quantum groups at roots of unity. For the spin-one case we construct and study the symmetries of the hamiltonian which depends on a spectral variable belonging to an elliptic curve. One of the points of this curve yields the Fateev-Zamolodchikov hamiltonian of spin-one and anisotropy DELTA=1/2 (q2+q-2) with q a cubic root of unity. In some other special points the spin degrees of freedom as well as the hamiltonian splits into pieces governed by a larger symmetry.
引用
收藏
页码:126 / 132
页数:7
相关论文
共 23 条
[11]   CHIRAL POTTS-MODEL AS A DESCENDANT OF THE 6-VERTEX MODEL [J].
BAZHANOV, VV ;
STROGANOV, YG .
JOURNAL OF STATISTICAL PHYSICS, 1990, 59 (3-4) :799-817
[12]  
BERKOVICH A, 1991, IN PRESS INT J PHYS
[13]   R MATRIX FOR CYCLIC REPRESENTATIONS OF UQ(SL(3,C)) AT Q3=1 [J].
DATE, E ;
JIMBO, M ;
MIKI, K ;
MIWA, T .
PHYSICS LETTERS A, 1990, 148 (1-2) :45-49
[14]  
DECONCINI C, 1990, REPRESENTATIONS QUAN
[15]   THE INTEGRABLE XXZ HEISENBERG-MODEL WITH ARBITRARY SPIN - CONSTRUCTION OF THE HAMILTONIAN, THE GROUND-STATE CONFIGURATION AND CONFORMAL PROPERTIES [J].
FRAHM, H ;
YU, NC ;
FOWLER, M .
NUCLEAR PHYSICS B, 1990, 336 (03) :396-434
[16]   NEW R-MATRICES ASSOCIATED WITH FINITE DIMENSIONAL REPRESENTATIONS OF UQ(SL(2)) AT ROOTS OF UNITY [J].
GOMEZ, C ;
RUIZALTABA, M ;
SIERRA, G .
PHYSICS LETTERS B, 1991, 265 (1-2) :95-98
[17]  
GOMEZ C, 1991, NUCL PHYS B, V373, P761
[19]   EXACT SOLUTION OF THE INTEGRABLE XXZ HEISENBERG-MODEL WITH ARBITRARY SPIN .1. THE GROUND-STATE AND THE EXCITATION SPECTRUM [J].
KIRILLOV, AN ;
RESHETIKHIN, NY .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (06) :1565-1585
[20]   DIRECT OBSERVATION OF THE HALDANE GAP IN NENP BY FAR-INFRARED SPECTROSCOPY IN HIGH MAGNETIC-FIELDS [J].
LU, W ;
TUCHENDLER, J ;
VONORTENBERG, M ;
RENARD, JP .
PHYSICAL REVIEW LETTERS, 1991, 67 (26) :3716-3719