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

Z. Bajnok; D. Nogradi

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arXiv · hep-th/0011135

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

Z. Bajnok·D. Nogradi

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Abstract

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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BibTeX RIS

Z. Bajnok, D. Nogradi. 2000-11-15. Symplectic leaves of W-algebras from the reduced Kac-Moody point of view. https://arxiv.org/abs/hep-th/0011135

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