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

Alexander A. Belov; Karen D. Chaltikian

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

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

High Energy Physics - Theory 2009-10-22 v1

Authors: 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].

Keywords

lattice W-infinity algebra discrete KP hierarchy integrable system lattice WN algebra discrete N-KdV hierarchy

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@article{arxiv.hep-th/9305096,
  title  = {Lattice Analogue of W-infinity Algebra and Discrete KP-Hierarchy},
  author = {Alexander A. Belov and Karen D. Chaltikian},
  journal= {arXiv preprint arXiv:hep-th/9305096},
  year   = {2009}
}

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10 pages, ILG-TMP-93-02

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

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