Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended Gauge Invariance in Geometrical Particle Models and the
  Geometry of W-Symmetry   We prove that particle models whose action is given by the integrated $n$-th
curvature function over the world line possess $n+1$ gauge invariances. A
geometrical characterization of these symmetries is obtained via Frenet
equations by rephrasing the $n$-th curvature model in $\reals^d$ in terms of a
standard relativistic particle in $S^{d-n}$. We ``prove by example'' that the
algebra of these infinitesimal gauge invariances is nothing but $\W_{n+2}$,
thus providing a geometrical picture of the $\W$-symmetry for these models. As
a spin-off of our approach we give a new global invariant for four-dimensional
curves subject to a curvature constraint.

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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom