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.
Information
Digital Object Identifier: 10.7546/giq-2-2001-99-109