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arXiv · hep-th/9305096

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

Alexander A. Belov·Karen D. Chaltikian
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Abstract

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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Alexander A. Belov, Karen D. Chaltikian. 1993-05-21. Lattice Analogue of W-infinity Algebra and Discrete KP-Hierarchy. https://doi.org/10.1016/0370-2693(93)91571-4

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