FERMIONIC SUM REPRESENTATIONS FOR CONFORMAL FIELD-THEORY CHARACTERS

被引:139
作者
KEDEM, R [1 ]
KLASSEN, TR [1 ]
MCCOY, BM [1 ]
MELZER, E [1 ]
机构
[1] RUTGERS UNIV,DEPT PHYS & ASTRON,NEW BRUNSWICK,NJ 08903
基金
加拿大自然科学与工程研究理事会; 美国国家科学基金会;
关键词
D O I
10.1016/0370-2693(93)90194-M
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present sum representations for all characters of the unitary Virasoro minimal models. They can be viewed as fermionic companions of the Rocha-Caridi sum representations, the latter related to the (bosonic) Feigin-Fuchs-Felder construction. We also give fermionic representations for certain characters of the general (G(1))k X (G(1))l/(G(1))k+l coset conformal field theories, the non-unitary minimal models M(p, p+2) and M(p, kp+1), the N=2 superconformal series, and the Z(N)-parafermion theories, and relate the q --> 1 behaviour of all these fermionic sum representations to the thermodynamic Bethe ansatz.
引用
收藏
页码:68 / 76
页数:9
相关论文
共 54 条
[1]  
AHN C, CLNS911117 CORN PRER
[2]   THERMODYNAMIC BETHE ANSATZ EQUATIONS FOR PERTURBED MINIMAL CONFORMAL FIELD-THEORIES [J].
AHN, CR ;
NAM, SK .
PHYSICS LETTERS B, 1991, 271 (3-4) :329-336
[3]  
[Anonymous], [No title captured]
[4]   VIRASORO ALGEBRAS WITH CENTRAL CHARGE C-GREATER-THAN-1 [J].
BAGGER, J ;
NEMESCHANSKY, D ;
YANKIELOWICZ, S .
PHYSICAL REVIEW LETTERS, 1988, 60 (05) :389-392
[5]   COSET CONSTRUCTION FOR EXTENDED VIRASORO ALGEBRAS [J].
BAIS, FA ;
BOUWKNEGT, P ;
SURRIDGE, M ;
SCHOUTENS, K .
NUCLEAR PHYSICS B, 1988, 304 (02) :371-391
[6]  
Baxter R. J., 2007, EXACTLY SOLVED MODEL
[7]   RESTRICTED SOLID-ON-SOLID MODELS CONNECTED WITH SIMPLY LACED ALGEBRAS AND CONFORMAL FIELD-THEORY [J].
BAZHANOV, VV ;
RESHETIKHIN, N .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (09) :1477-1492
[8]   CRITICAL RSOS MODELS AND CONFORMAL FIELD-THEORY [J].
BAZHANOV, VV ;
RESHETIKHIN, NY .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (01) :115-142
[9]  
BAZHANOV VV, 1990, PROG THEOR PHYS SUPP, V102, P301
[10]   MODULAR INVARIANT PARTITION-FUNCTIONS IN 2 DIMENSIONS [J].
CAPPELLI, A ;
ITZYKSON, C ;
ZUBER, JB .
NUCLEAR PHYSICS B, 1987, 280 (03) :445-465