Particle Mechanics Models with W-symmetries
High Energy Physics - Theory
2009-10-22 v2
Abstract
We introduce a particle mechanics model with Sp() gauge invariance. Different partial gauge-fixings by means of sl(2) embeddings on the gauge algebra lead to reduced models which are invariant under diffeomorphisms and classical non-linear \W-transformations as the residual gauge symmetries thus providing a set of models of gauge and matter fields coupled in a \W-invariant way. The equations of motion for the matter variables give Lax operators in a matrix form. We examine several examples in detail and discuss the issue of integration of infinitesimal \W-transformations.
Cite
@article{arxiv.hep-th/9309048,
title = {Particle Mechanics Models with W-symmetries},
author = {J. Gomis and J. Herrero and K. Kamimura and J. Roca},
journal= {arXiv preprint arXiv:hep-th/9309048},
year = {2009}
}
Comments
34 pages, LaTeX, no figures. Several changes (including Title) and new material added. Version to appear in Ann. Phys