Lattice analogues of W-algebras and Classical Integrable Equations

Details Lattice analogues of W-algebras and Classical Integrable Equations Lattice analogues of W-algebras and Classical Integrable Equations

1993-03-30

arxiv.org/abs/hep-th/9303166v1

Phys.Lett. B309 (1993) 268-274

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, ILG-TMP-93-01, (the problems caused by mailer are fixed)

Scientific paper

10.1016/0370-2693(93)90932-8

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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