Lattice Analogue of W-infinity Algebra and Discrete KP-Hierarchy

1993/05/21 by Alexander A. Belov, Karen D. Chaltikian
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/0370-2693(93)91571-4

published as Phys.Lett. B317 (1993) 64-72 · 10 pages, ILG-TMP-93-02

arxiv created 1993/05/21 · arxiv updated 2009/11/30

Abstract

In development of the started activity on lattice analogues of W-algebras, we define the notion of lattice W_∞-algebra, accociated with lattice integrable system with infinite set of fields. Various kinds of reduction to lattice W_N-algebras, related to discrete N-KdV hierarchies are described. We also discuss the connection of our results with those obtained in the papers of Xiong [13] and Bonora [14].

Cited by

• Arithmetic Supports of Lax Difference Hierarchies