NEW IDENTITIES BETWEEN UNITARY MINIMAL VIRASORO CHARACTERS

Authors
Citation
A. Taormina, NEW IDENTITIES BETWEEN UNITARY MINIMAL VIRASORO CHARACTERS, Communications in Mathematical Physics, 165(1), 1994, pp. 69-82
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00103616
Volume
165
Issue
1
Year of publication
1994
Pages
69 - 82
Database
ISI
SICI code
0010-3616(1994)165:1<69:NIBUMV>2.0.ZU;2-A
Abstract
Two sets of identities between unitary minimal Virasoro characters at levels m = 3, 4, 5 are presented and proven. The first identity sugges ts a connection between the Ising and the tricritical Ising models sin ce the m = 3 Virasoro characters are obtained as bilinears of m = 4 Vi rasoro characters. The second identity gives the tricritical Ising mod el characters as bilinears in the Ising model characters and the six c ombinations of m = 5 Virasoro characters which do not appear in the sp ectrum of the three state Potts model. The implication of these identi ties on the study of the branching rules of N = 4 superconformal chara cters into SU(2) x SU(2) characters is discussed.