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

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

1993-05-21

arxiv.org/abs/hep-th/9305096v1

Phys.Lett. B317 (1993) 64-72

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, ILG-TMP-93-02

Scientific paper

10.1016/0370-2693(93)91571-4

In development of the started activity on lattice analogues of $W$-algebras, we define the notion of lattice $W_{\infty}$-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].

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