A construction of solutions to reflection equations for interaction-round-a-face models

被引：20

作者：

Behrend, RE ^{[1
]}

Pearce, PA ^{[1
]}

机构：

[1] UNIV BONN,INST PHYS,D-53115 BONN,GERMANY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 24期

关键词：

D O I：

10.1088/0305-4470/29/24/009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a procedure in which known solutions to reflection equations for interaction-round-a-face lattice models are used to construct new solutions. The procedure is particularly well suited to models which have a known fusion hierarchy and which are based on graphs containing a node of valency I. Among such models are the Andrews-Baxter-Forrester models, for which we construct reflection equation solutions for fixed and free boundary conditions.

引用

收藏

页码：7827 / 7835

页数：9

相关论文

共 15 条

[1] Boundary Yang-Baxter equation in the RSOS/SOS representation [J].

Ahn, C ;

Koo, WM .

NUCLEAR PHYSICS B, 1996, 468 (03) :461-486

[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] 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)) [J].

Batchelor, MT ;

Fridkin, V ;

Kuniba, A ;

Zhou, YK .

PHYSICS LETTERS B, 1996, 376 (04) :266-274

[4] 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

[5] Interaction-round-a-face models with fixed boundary conditions: The ABF fusion hierarchy [J].

Behrend, RE ;

Pearce, PA ;

OBrien, DL .

JOURNAL OF STATISTICAL PHYSICS, 1996, 84 (1-2) :1-48

[6] FUSION OF THE 8 VERTEX SOS MODEL [J].

DATE, E ;

JIMBO, M ;

MIWA, T ;

OKADO, M .

LETTERS IN MATHEMATICAL PHYSICS, 1986, 12 (03) :209-215

[7]

DATE E, 1987, LETT MATH PHYS, V14, P97

[8]

Date E., 1988, Adv. Studies in Pure Math., V16, P17

[9] GENERAL-SOLUTION OF REFLECTION EQUATION FOR 8-VERTEX SOS MODEL [J].

FAN, H ;

HOU, BY ;

SHI, KJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (17) :4743-4749

[10]

KULISH P, 1996, P 34 SCHLADM SUMM SC