On W_3-morphisms and the Geometry of Plane Curves

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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plain TeX (macros included). Slightly expanded version published in Phys. Lett. B

Scientific paper

10.1016/0370-2693(95)01335-0

We provide a description of W_3 transformations in terms of deformations of
convex curves in two dimensional Euclidean space. This geometrical
interpretation sheds some light on the nature of finite W_3-morphisms. We also
comment on how this construction can be extended to the case of W_n and
``nicely curved'' curves in $\reals^{n-1}$.

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