NEW FACTORIZED S-MATRICES ASSOCIATED WITH SO(N)

被引:24
作者
MACKAY, NJ [1 ]
机构
[1] UNIV CALIF SANTA BARBARA,INST THEORET PHYS,SANTA BARBARA,CA 93106
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(91)90384-A
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
A method is presented for applying the fusion procedure for solutions of the rational Yang-Baxter equation to R-matrices acting in the vector representation of SO(N). As an application, new R-matrices acting in symmetric representations of SO(N) are calculated. R-matrices acting in reducible representations containing the antisymmetric representations of SO(N) are calculated. These are used to construct factorized S-matrices giving the scattering of particles in the principal chiral model. Connections with affine Toda field theory are discussed.
引用
收藏
页码:729 / 749
页数:21
相关论文
共 25 条
[1]   QUANTUM S-MATRIX OF THE (1+1)-DIMENSIONAL TODD CHAIN [J].
ARINSHTEIN, AE ;
FATEYEV, VA ;
ZAMOLODCHIKOV, AB .
PHYSICS LETTERS B, 1979, 87 (04) :389-392
[2]   FACTORIZED U(N) SYMMETRIC S-MATRICES IN 2 DIMENSIONS [J].
BERG, B ;
KAROWSKI, M ;
WEISZ, P ;
KURAK, V .
NUCLEAR PHYSICS B, 1978, 134 (01) :125-132
[3]   AFFINE TODA FIELD-THEORY AND EXACT S-MATRICES [J].
BRADEN, HW ;
CORRIGAN, E ;
DOREY, PE ;
SASAKI, R .
NUCLEAR PHYSICS B, 1990, 338 (03) :689-746
[4]  
BRADEN HW, 1990, IN PRESS 10TH P WINT
[5]   INTEGRABLE SYSTEMS AWAY FROM CRITICALITY - THE TODA FIELD-THEORY AND S-MATRIX OF THE TRICRITICAL ISING-MODEL [J].
CHRISTE, P ;
MUSSARDO, G .
NUCLEAR PHYSICS B, 1990, 330 (2-3) :465-487
[6]  
CHRISTE P, IN PRESS INT J MOD P
[7]  
DRINFELD VG, 1985, DOKL AKAD NAUK SSSR, V32, P254
[8]   DEFORMATIONS OF CONFORMAL FIELD-THEORIES AND SOLITON-EQUATIONS [J].
EGUCHI, T ;
YANG, SK .
PHYSICS LETTERS B, 1989, 224 (04) :373-378
[9]  
GE ML, 1990, ITPSB9002 STON BROOK
[10]  
HOLLOWOOD T, 1990, OUTP9015P OXF PREPR