Fermionic representations for characters of M(3, t), M(4,5), M(5,6) and M(6,7) minimal models and related dilogarithm and Rogers-Ramanujan-type identities

Authors
Bytsko, AG
Citation
Ag. Bytsko, Fermionic representations for characters of M(3, t), M(4,5), M(5,6) and M(6,7) minimal models and related dilogarithm and Rogers-Ramanujan-type identities, J PHYS A, 32(46), 1999, pp. 8045-8058
Citations number
23
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
46
Year of publication
1999
Pages
8045 - 8058
Database
ISI
SICI code
0305-4470(19991119)32:46<8045:FRFCOM>2.0.ZU;2-2
Abstract
Characters and linear combinations of characters that admit a fermionic sum representation as well as a factorized form are considered for some minima l Virasoro models. As a consequence, various Rogers-Ramanujan-type identiti es are obtained. Dilogarithm identities producing corresponding effective c entral charges and secondary effective central charges are derived. Several ways of constructing more general fermionic representations are discussed.