Global Deformations of the Witt Algebra of Krichever-Novikov Type

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By considering non-trivial global deformations of the Witt (and the Virasoro) algebra given by geometric constructions it is shown that, despite their infinitesimal and formal rigidity, they are globally not rigid. This shows the need of a clear indication of the type of deformations considered. The families appearing are constructed as families of algebras of Krichever-Novikov type. They show up in a natural way in the global operator approach to the quantization of two-dimensional conformal field theory. In addition, a proof of the infinitesimal and formal rigidity of the Witt algebra is presented.
21 pages, only typing errors and references are updated, final version

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Quantum Algebra, Mathematical Physics, Algebraic Geometry, Rings and Algebras, 17B66 17B56, 17B65, 17B68, 14D15, 14H52, 30F30, 81T40

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http://salesiana.dossiersoluciones.com/handle/123456789/64281

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206114
 http://arxiv.org/abs/math/0206114

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arXiv