Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-09-09
Annals Phys. 244 (1995) 67-100
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, LaTeX, no figures. Several changes (including Title) and new material added. Version to appear in Ann. Phys
Scientific paper
10.1006/aphy.1995.1107
We introduce a particle mechanics model with Sp($2M$) 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.
Gomis Joaquim
Herrero J.
Kamimura Kiyoshi
Roca Jaume
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