TOWARDS A CLASSIFICATION OF MODULAR INVARIANT PARTITION-FUNCTIONS FORTHEORIES BASED ON N = 4 SUPERCONFORMAL ALGEBRAS

Authors
TAORMINA A
Citation
A. Taormina, TOWARDS A CLASSIFICATION OF MODULAR INVARIANT PARTITION-FUNCTIONS FORTHEORIES BASED ON N = 4 SUPERCONFORMAL ALGEBRAS, Theoretical and mathematical physics, 95(2), 1993, pp. 663-671
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
95
Issue
2
Year of publication
1993
Pages
663 - 671
Database
ISI
SICI code
0040-5779(1993)95:2<663:TACOMI>2.0.ZU;2-G
Abstract
The representation theory of the doubly extended N = 4 superconformal algebra is reviewed. The modular properties of the corresponding chara cters can be derived, using characters sumrules for coset realizations of these N = 4 algebras. Some particular combinations of massless cha racters are shown to transform as affine SU(2) characters under S and T, a fact used to completely classify the massless sector of the parti tion function.