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arXiv · hep-th/9309048

Particle Mechanics Models with W-symmetries

J. Gomis·J. Herrero·K. Kamimura·J. Roca
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Abstract

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.

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J. Gomis, J. Herrero, K. Kamimura, J. Roca. 1995-04-26. Particle Mechanics Models with W-symmetries. https://doi.org/10.1006/aphy.1995.1107

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