Published April 1988 | Version v1
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GN x GL/GN+L conformal field theories and their modular invariant partition functions

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Description

We study a Feigin-Fuchs construction of conformal field theories based on a GxG/G coset space, in terms of screened bosons and parafermions. This allows to get the formula for the conformal dimensions of primary operators. Lists of modular invariant partition functions for the SU(3), SO(5) and G2 Wess-Zumino-Witten models are given. Besides the principal series of diagonal invariants, a complementary series exists for SU(3) and SO(5), which is due to the outer automorphism of the Kac-Moody algebra. Moreover, exceptional solutions appear at level 5, 9, 21 for SU(3), at level 3, 7, 12 for SO(5) and at level 3, 4 for G2. From these modular invariants, those for the corresponding GN x GL/GN+L models are constructed. (orig.)

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Imprint Pagination
35 p.
Report number
NORDITA--88/17-P(prepr.)

INIS

Country of Publication
Denmark
Country of Input or Organization
Denmark
INIS RN
19094079
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOSONS; CONFORMAL INVARIANCE; CONSTRUCTIVE FIELD THEORY; FERMIONS; IRREDUCIBLE REPRESENTATIONS; MATHEMATICAL SPACE; PARTITION FUNCTIONS; QUANTUM OPERATORS; SCALE DIMENSION; SERIES EXPANSION; SO GROUPS; SU-3 GROUPS
Descriptors DEC
FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL OPERATORS; QUANTUM FIELD THEORY; SPACE; SU GROUPS; SYMMETRY GROUPS