TODA LATTICE FIELD-THEORIES, DISCRETE W-ALGEBRAS, TODA LATTICE HIERARCHIES AND QUANTUM GROUPS

Authors
BONORA L COLATTO LP CONSTANTINIDIS CP
Citation
L. Bonora et al., TODA LATTICE FIELD-THEORIES, DISCRETE W-ALGEBRAS, TODA LATTICE HIERARCHIES AND QUANTUM GROUPS, Physics letters. Section B, 387(4), 1996, pp. 759-768
Citations number
20
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
387
Issue
4
Year of publication
1996
Pages
759 - 768
Database
ISI
SICI code
0370-2693(1996)387:4<759:TLFDWT>2.0.ZU;2-X
Abstract
In analogy with the Liouville case we study the sl(3) Toda theory on t he lattice and define the relevant quadratic algebra and out of it we recover the discrete W-3 algebra. We define an integrable system with respect to the latter and establish the relation with the Toda lattice hierarchy. We compute the relevant continuum limits. Finally we find the quantum version of the quadratic algebra.