DEFORMATIONS OF W-ALGEBRAS ASSOCIATED TO SIMPLE LIE-ALGEBRAS

Authors
FRENKEL E RESHETIKHIN N
Citation
E. Frenkel et N. Reshetikhin, DEFORMATIONS OF W-ALGEBRAS ASSOCIATED TO SIMPLE LIE-ALGEBRAS, Communications in Mathematical Physics, 197(1), 1998, pp. 1-32
Citations number
42
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
197
Issue
1
Year of publication
1998
Pages
1 - 32
Database
ISI
SICI code
0010-3616(1998)197:1<1:DOWATS>2.0.ZU;2-D
Abstract
Deformed W-algebra W-q,W-t(g) associated to an arbitrary simple Lie al gebra g is defined together with its free field realization and the sc reening operators. Explicit formulas are given for generators of W-q,W -t(g) when g is of classical type. These formulas exhibit a deep conne ction between W-q,W-t(g) and the analytic Bethe Ansatz in integrable m odels associated to quantum affine algebras U-q((g) over cap) and U-t( (L)(g) over cap). The scaling limit of W-q,W-t(g) is closely related t o affine Toda field theories.