VERTEX OPERATORS OF THE Q-VIRASORO ALGEBRA - DEFINING RELATIONS, ADJOINT ACTIONS AND 4 POINT FUNCTIONS

Authors
AWATA H KUBO H MORITA Y ODAKE S SHIRAISHI J
Citation
H. Awata et al., VERTEX OPERATORS OF THE Q-VIRASORO ALGEBRA - DEFINING RELATIONS, ADJOINT ACTIONS AND 4 POINT FUNCTIONS, letters in mathematical physics, 41(1), 1997, pp. 65-78
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
41
Issue
1
Year of publication
1997
Pages
65 - 78
Database
ISI
SICI code
0377-9017(1997)41:1<65:VOOTQA>2.0.ZU;2-M
Abstract
Primary fields of the q-deformed Virasoro algebra are constructed. Com mutation relations among the primary fields are studied. Adjoint actio ns of the deformed Virasoro current on the primary fields are represen ted by the shift operator Theta(xi)f(x) = f(xi x) Four point functions of the primary fields enjoy the connection formula associated with th e Boltzmann weights of the fusion Andrews-Baxter-Forrester model.