ON THE FREE FIELD RESOLUTIONS FOR COSET CONFORMAL FIELD-THEORIES

被引:14
作者
BOUWKNEGT, P
MCCARTHY, J
PILCH, K
机构
[1] MIT,DEPT PHYS,CAMBRIDGE,MA 02139
[2] BRANDEIS UNIV,DEPT PHYS,WALTHAM,MA 02254
[3] UNIV SO CALIF,DEPT PHYS,LOS ANGELES,CA 90089
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(91)90132-H
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
We obtain a resolution of (generically irreducible) highest-weight modules for coset conformal field theories G/H in terms of free field Fock spaces, by projection of the free field resolutions of G. We apply the resolution to calculate the characters of some G/H models, including the G-parafermions and G X G/G models. In this way we obtain, for example, explicit expressions for all Kac-Peterson string functions.
引用
收藏
页码:139 / 162
页数:24
相关论文
共 65 条
[51]   CURRENT-ALGEBRA AND CONFORMAL DISCRETE-SERIES [J].
KASTOR, D ;
MARTINEC, E ;
QIU, Z .
PHYSICS LETTERS B, 1988, 200 (04) :434-440
[52]   FREE FIELD REALIZATION OF COSET CONFORMAL FIELD-THEORIES [J].
KUWAHARA, M ;
OHTA, N ;
SUZUKI, H .
PHYSICS LETTERS B, 1990, 235 (1-2) :57-62
[53]  
KUWAHARA M, 1990, JPHYS LETT B, V235, P52
[54]   CHIRAL RINGS IN N=2 SUPERCONFORMAL THEORIES [J].
LERCHE, W ;
VAFA, C ;
WARNER, NP .
NUCLEAR PHYSICS B, 1989, 324 (02) :427-474
[55]   TAMING THE CONFORMAL ZOO [J].
MOORE, G ;
SEIBERG, N .
PHYSICS LETTERS B, 1989, 220 (03) :422-430
[56]   BOSONIZATION AND MULTILOOP CALCULATIONS FOR THE WESS-ZUMINO-WITTEN MODEL [J].
MOROZOV, A .
PHYSICS LETTERS B, 1989, 229 (03) :239-242
[57]   FEIGIN-FUCHS REPRESENTATION OF SU(2)K KAC-MOODY ALGEBRA [J].
NEMESCHANSKY, D .
PHYSICS LETTERS B, 1989, 224 (1-2) :121-124
[58]   N=2 SUPERCONFORMAL MODELS AND THEIR FREE FIELD REALIZATION [J].
OHTA, N ;
SUZUKI, H .
NUCLEAR PHYSICS B, 1990, 332 (01) :146-168
[59]  
PREITSCHOPF CR, 1988, UMDEPP88206
[60]   SPLITTING CRITERIA FOR G-MODULES INDUCED FROM A PARABOLIC AND THE BERNSTEIN-GELFAND-GELFAND RESOLUTION OF A FINITE DIMENSIONAL, IRREDUCIBLE G-MODULE [J].
ROCHACARIDI, A .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 262 (02) :335-366