TY - JOUR

T1 - New parafermion, SU(2) coset and N = 2 superconformal field theories

AU - Ahn, Changrim

AU - Chung, Stephen wei

AU - Tye, S. H.Henry

N1 - Funding Information:
We thank P. Argyres, K. Dienes, B. Greene, J. Grochocinski, O. Hern~ndez, A. LeClair, E. Lyman, and M. Walton for numerous discussions. This work is supported in part by the National Science Foundation.

PY - 1991/11/4

Y1 - 1991/11/4

N2 - In this paper we construct new parafermion theories, generalizing the ZL parafermion theory from integer L to rational L. These non-unitary parafermion theories (which are also defined as SL(2, R)L/U(1)) have some novel features: an infinite number of currents with negative conformal dimensions for most (if not all) of them. We construct the string functions of these new parafermion theories. Generalizing Felder's BRST cohomology approach we construct from the string functions the branching functions of the SU(2)L × SU(2)K SU(2)K+L coset theories, where both K, L are rational. New N = 2 superconformal field theories and topological field theories are also constructed. Their characters are obtained in terms of the new string functions.

AB - In this paper we construct new parafermion theories, generalizing the ZL parafermion theory from integer L to rational L. These non-unitary parafermion theories (which are also defined as SL(2, R)L/U(1)) have some novel features: an infinite number of currents with negative conformal dimensions for most (if not all) of them. We construct the string functions of these new parafermion theories. Generalizing Felder's BRST cohomology approach we construct from the string functions the branching functions of the SU(2)L × SU(2)K SU(2)K+L coset theories, where both K, L are rational. New N = 2 superconformal field theories and topological field theories are also constructed. Their characters are obtained in terms of the new string functions.

UR - http://www.scopus.com/inward/record.url?scp=0000834375&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(91)90611-Z

DO - 10.1016/0550-3213(91)90611-Z

M3 - Article

AN - SCOPUS:0000834375

SN - 0550-3213

VL - 365

SP - 191

EP - 240

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1

ER -