Solutions of the reflection equation for face and vertex models associated with A(n)((1)), B-n((1)), C-n((1)), D-n((1)) and A(n)((2))

被引:49
作者
Batchelor, MT [1 ]
Fridkin, V [1 ]
Kuniba, A [1 ]
Zhou, YK [1 ]
机构
[1] UNIV TOKYO,INST PHYS,MEGURO KU,TOKYO 153,JAPAN
关键词
D O I
10.1016/0370-2693(96)00319-X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present new diagonal solutions of the reflection equation for elliptic solutions of the star-triangle relation. The models considered are related to the affine Lie algebras A(n)((1)), B-n((1)), C-n((1)), D-n((1)) and A(n)((2)). We recover all known diagonal solutions associated with these algebras and find how these solutions are related in the elliptic regime. Furthermore, new solutions of the reflection equation follow for the associated vertex models in the trigonometric limit.
引用
收藏
页码:266 / 274
页数:9
相关论文
共 40 条
[1]  
AHN C, HEPTH9508080
[2]   8-VERTEX SOS MODEL AND GENERALIZED ROGERS-RAMANUJAN-TYPE IDENTITIES [J].
ANDREWS, GE ;
BAXTER, RJ ;
FORRESTER, PJ .
JOURNAL OF STATISTICAL PHYSICS, 1984, 35 (3-4) :193-266
[3]   SPECTRUM OF THE TRANSFER-MATRIX FOR THE U-Q(B-N)-INVARIANT A(2N)((2)) OPEN SPIN CHAIN [J].
ARTZ, S ;
MEZINCESCU, L ;
NEPOMECHIE, RI .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1995, 10 (13) :1937-1952
[4]   ANALYTICAL BETHE-ANSATZ FOR A(2N-1)((2)), B-N((1)), C-N((1)), D-N((1)) QUANTUM-ALGEBRA-INVARIANT OPEN SPIN CHAINS [J].
ARTZ, S ;
MEZINCESCU, L ;
NEPOMECHIE, RI .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (18) :5131-5142
[5]   EXACT RESULTS FOR THE ADSORPTION OF A FLEXIBLE SELF-AVOIDING POLYMER-CHAIN IN 2 DIMENSIONS [J].
BATCHELOR, MT ;
YUNG, CM .
PHYSICAL REVIEW LETTERS, 1995, 74 (11) :2026-2029
[6]   An Ising model in a magnetic field with a boundary [J].
Batchelor, MT ;
Fridkin, V ;
Zhou, YK .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (04) :L61-L67
[7]   SURFACE CRITICAL-BEHAVIOR OF THE HONEYCOMB O(N) LOOP MODEL WITH MIXED ORDINARY AND SPECIAL BOUNDARY-CONDITIONS [J].
BATCHELOR, MT ;
YUNG, CM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (16) :L421-L426
[8]  
BATCHELOR MT, 1996, IN PRESS STATISTICAL
[9]   TRIGONOMETRIC SOLUTIONS OF TRIANGLE EQUATIONS AND CLASSICAL LIE-ALGEBRAS [J].
BAZHANOV, VV .
PHYSICS LETTERS B, 1985, 159 (4-6) :321-324
[10]   INTEGRABLE QUANTUM-SYSTEMS AND CLASSICAL LIE-ALGEBRAS [J].
BAZHANOV, VV .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 113 (03) :471-503