THE RANK-4 HETEROTIC MODULAR INVARIANT PARTITION-FUNCTIONS

被引:8
作者
GANNON, T [1 ]
HOKIM, Q [1 ]
机构
[1] LAVAL UNIV,DEPT PHYS,ST FOY G1K 7P4,PQ,CANADA
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/0550-3213(94)90183-X
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
In this paper, we develop several general techniques to investigate modular invariants of conformal field theories whose algebras of the holomorphic and anti-holomorphic sectors are different. As an application, we find all such ''heterotic'' WZNW physical invariants of (horizontal) rank four: there are exactly seven of these, two of which seem to be new. Previously, only those of rank less-than-or-equal-to 3 have been completely classified. We also find all physical modular invariants for su(2)k1 x su(2)k2, for 22 > k1 > k2, and k1 = 28, k2 < 22, completing the classification of Ref. [9].
引用
收藏
页码:319 / 342
页数:24
相关论文
共 31 条
[1]  
BAIS FA, 1987, NUCL PHYS B, V279, P561, DOI 10.1016/0550-3213(87)90010-1
[2]   ON THE CONSTRUCTION OF MODULAR INVARIANT PARTITION-FUNCTIONS [J].
BOUWKNEGT, P .
NUCLEAR PHYSICS B, 1987, 290 (04) :507-526
[3]   MODULAR INVARIANT PARTITION-FUNCTIONS IN 2 DIMENSIONS [J].
CAPPELLI, A ;
ITZYKSON, C ;
ZUBER, JB .
NUCLEAR PHYSICS B, 1987, 280 (03) :445-465
[4]   THE A-D-E CLASSIFICATION OF MINIMAL AND A1(1) CONFORMAL INVARIANT THEORIES [J].
CAPPELLI, A ;
ITZYKSON, C ;
ZUBER, JB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 113 (01) :1-26
[5]  
CLEAVER GB, 1992, NSFITP92148 PREPR
[6]  
Conway J. H., 1988, SPHERE PACKINGS LATT
[7]  
COSTE A, IN PRESS PHYS LETT B
[8]   NEW EXCEPTIONAL (A1(1))CIRCLE-PLUS-R INVARIANTS AND THE ASSOCIATED GEPNER MODELS [J].
FUCHS, J ;
KLEMM, A ;
SCHMIDT, MG ;
VERSTEGEN, D .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (10) :2245-2264
[9]   WZW COMMUTANTS, LATTICES AND LEVEL-ONE PARTITION-FUNCTIONS [J].
GANNON, T .
NUCLEAR PHYSICS B, 1993, 396 (2-3) :708-736
[10]   PARTITION-FUNCTIONS FOR HETEROTIC WZW CONFORMAL FIELD-THEORIES [J].
GANNON, T .
NUCLEAR PHYSICS B, 1993, 402 (03) :729-753