BRAIDING IN CONFORMAL FIELD-THEORY AND SOLVABLE LATTICE MODELS

被引:6
作者
FUCHS, J [1 ]
GEPNER, D [1 ]
机构
[1] CALTECH,DIV PHYS MATH & ASTRON,PASADENA,CA 91125
关键词
D O I
10.1016/0550-3213(94)90004-3
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Braiding matrices in rational conformal field theory are considered. The braiding matrices for any two-block four-point function are computed, in general, using the holomorphic properties of the blocks and the holomorphic properties of rational conformal field theory. The braidings involving the defining representation of SU(N)k are evaluated and are used as examples. Solvable interaction round the face lattice models are constructed from these braiding matrices, and their Boltzmann weights are given. This allows, in particular, for the derivation of the Boltzmann weights of such solvable height models.
引用
收藏
页码:614 / 628
页数:15
相关论文
共 27 条
[1]  
ALVAREZGAUME L, CARGESE SUMMER I, P1
[2]  
ALVAREZGAUME L, PHYSICS MATH STRINGS, P16
[3]  
[Anonymous], 1953, HIGHER TRANSCENDENTA
[4]   FUSION AND BRAIDING IN W-ALGEBRA EXTENDED CONFORMAL THEORIES [J].
BILAL, A .
NUCLEAR PHYSICS B, 1990, 330 (2-3) :399-432
[5]   SYSTEMATIC CONSTRUCTION OF CONFORMAL THEORIES WITH HIGHER-SPIN VIRASORO SYMMETRIES [J].
BILAL, A ;
GERVAIS, JL .
NUCLEAR PHYSICS B, 1989, 318 (03) :579-630
[6]   RIEMANN MONODROMY PROBLEM AND CONFORMAL FIELD-THEORIES [J].
BLOK, B ;
YANKIELOWICZ, S .
NUCLEAR PHYSICS B, 1989, 321 (03) :717-752
[7]   SU(N) LATTICE INTEGRABLE MODELS ASSOCIATED WITH GRAPHS [J].
DIFRANCESCO, P ;
ZUBER, JB .
NUCLEAR PHYSICS B, 1990, 338 (03) :602-646
[8]   OPERATOR PRODUCT COEFFICIENTS IN NON-STANDARD SU(2) WESS-ZUMINO-WITTEN MODELS [J].
DOUGLAS, MR ;
TRIVEDI, SP .
NUCLEAR PHYSICS B, 1989, 320 (02) :461-475
[9]   NEW EXACTLY SOLVABLE ORBIFOLD MODELS [J].
FENDLEY, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (21) :4633-4642
[10]   NON-CRITICAL ORBIFOLDS [J].
FENDLEY, P ;
GINSPARG, P .
NUCLEAR PHYSICS B, 1989, 324 (03) :549-580