MODULAR INVARIANCE AND UNIQUENESS OF CONFORMAL CHARACTERS

Authors
EHOLZER W SKORUPPA NP
Citation
W. Eholzer et Np. Skoruppa, MODULAR INVARIANCE AND UNIQUENESS OF CONFORMAL CHARACTERS, Communications in Mathematical Physics, 174(1), 1995, pp. 117-136
Citations number
29
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
174
Issue
1
Year of publication
1995
Pages
117 - 136
Database
ISI
SICI code
0010-3616(1995)174:1<117:MIAUOC>2.0.ZU;2-2
Abstract
We show that the conformal characters of various rational models of W- algebras can be already uniquely determined if one merely knows the ce ntral charge and the conformal dimensions. As a side result we develop several tools for studying representations of SL(2, Z) on spaces of m odular functions. These methods, applied here only to certain rational conformal field theories, may be useful for the analysis of many othe rs.