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arXiv · hep-th/9303166

Lattice analogues of W-algebras and Classical Integrable Equations

Alexander A. Belov·Karen D. Chaltikian
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Abstract

We propose a regular way to construct lattice versions of $W$-algebras, both for quantum and classical cases. In the classical case we write the algebra explicitly and derive the lattice analogue of Boussinesq equation from the Hamiltonian equations of motion. Connection between the lattice Faddeev-Takhtadjan-Volkov algebra [1] and q-deformed Virasoro is also discussed.

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Alexander A. Belov, Karen D. Chaltikian. 1993-03-30. Lattice analogues of W-algebras and Classical Integrable Equations. https://doi.org/10.1016/0370-2693(93)90932-8

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