QUANTUM AFFINE ALGEBRAS AND DEFORMATIONS OF THE VIRASORO AND W-ALGEBRAS

Authors
FRENKEL E RESHETIKHIN N
Citation
E. Frenkel et N. Reshetikhin, QUANTUM AFFINE ALGEBRAS AND DEFORMATIONS OF THE VIRASORO AND W-ALGEBRAS, Communications in Mathematical Physics, 178(1), 1996, pp. 237-264
Citations number
50
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
178
Issue
1
Year of publication
1996
Pages
237 - 264
Database
ISI
SICI code
0010-3616(1996)178:1<237:QAAADO>2.0.ZU;2-8
Abstract
Using the Wakimoto realization of quantum affine algebras we define ne w Poisson algebras, which are q-deformations of the classical W-algebr as. We also define their free field realizations, i.e. homomorphisms i nto some Heisenberg-Poisson algebras. The formulas for these homomorph isms coincide with formulas for spectra of transfer-matrices in the co rresponding quantum integrable models derived by the Bethe-Ansatz meth od.