Symplectic leaves of W-algebras from the reduced Kac-Moody point of view

Details Symplectic leaves of W-algebras from the reduced Kac-Moody point of view Symplectic leaves of W-algebras from the reduced Kac-Moody point of view

2000-11-15

arxiv.org/abs/hep-th/0011135v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 6 pages, Talk presented by Z. Bajnok at the Second International Conference on Geometry, Integrability and Quantization

Scientific paper

The symplectic leaves of W-algebras are the intersections of the symplectic leaves of the Kac-Moody algebras and the hypersurface of the second class constraints, which define the W-algebra. This viewpoint enables us to classify the symplectic leaves and also to give a representative for each of them. The case of the (W_{2}) (Virasoro) algebra is investigated in detail, where the positivity of the energy functional is also analyzed.

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