LATTICE ANALOG OF THE W-INFINITY ALGEBRA AND DISCRETE KP-HIERARCHY

Authors
BELOV AA CHALTIKIAN KD
Citation
Aa. Belov et Kd. Chaltikian, LATTICE ANALOG OF THE W-INFINITY ALGEBRA AND DISCRETE KP-HIERARCHY, Physics letters. Section B, 317(1-2), 1993, pp. 64-72
Citations number
22
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
317
Issue
1-2
Year of publication
1993
Pages
64 - 72
Database
ISI
SICI code
0370-2693(1993)317:1-2<64:LAOTWA>2.0.ZU;2-5
Abstract
In the development of the activity started on lattice analogues of W a lgebras, we define the notion of a lattice W(infinity) algebra, associ ated with a lattice integrable system with an infinite set of fields. Various kinds of reduction to lattice W(N) algebras, related to discre te N-KdV hierarchies are described. We also discuss the connection of our results with those obtained in the papers of Xiong [Phys. Lett. B 279 (1992) 347] and Bonora [Multimatrix models without continuous limi t, preprint SISSA-ISAS 211/92/EP (1992)].