Nonlinear Realizations of the $W_3^{(2)}$ Algebra
High Energy Physics - Theory
2019-08-17 v1
Abstract
In this letter we consider the nonlinear realizations of the classical Polyakov's algebra . The coset space method and the covariant reduction procedure allow us to deduce the Boussinesq equation with interchanged space and evolution coordinates. By adding one more space coordinate and introducing two copies of the algebra, the same method yields the Toda lattice equations.
Cite
@article{arxiv.hep-th/9402151,
title = {Nonlinear Realizations of the $W_3^{(2)}$ Algebra},
author = {S. Bellucci and V. Gribanov and S. Krivonos and A. Pashnev},
journal= {arXiv preprint arXiv:hep-th/9402151},
year = {2019}
}
Comments
LaTeX, 10p., Preprint LNF-94/013 (P)