English

Lattice analogues of W-algebras and Classical Integrable Equations

High Energy Physics - Theory 2009-10-22 v1

Abstract

We propose a regular way to construct lattice versions of WW-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.

Keywords

Cite

@article{arxiv.hep-th/9303166,
  title  = {Lattice analogues of W-algebras and Classical Integrable Equations},
  author = {Alexander A. Belov and Karen D. Chaltikian},
  journal= {arXiv preprint arXiv:hep-th/9303166},
  year   = {2009}
}

Comments

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