On W_3-morphisms and the Geometry of Plane Curves

Abstract

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 ${\mathbb{R}}^{n-1}$.

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

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Cited by in corpus (5)

• Gauge invariances of higher derivative Maxwell-Chern-Simons field theory -- a new Hamiltonian approach
• Gauge symmetry and W-algebra in higher derivative systems
• Gauge transformations for higher-order lagrangians
• Investigations In Higher Derivative Field Theories
• A Remark on the Effective Description of Topological Defects