Non-polynomial realizations of W-algebras
نویسندگان
چکیده
Relaxing first-class constraint conditions in the usual Drinfeld-Sokolov Hamiltonian reduction leads, after symmetry fixing, to realizations of W algebras expressed in terms of all the J-current components. General results are given for G a non exceptional simple (finite and affine) algebra. Such calculations directly provide the commutant, in the (closure of) G enveloping algebra, of the nilpotent subalgebra G−, where the subscript refers to the chosen gradation in G. In the affine case, explicit expressions are presented for the Virasoro, W3, and Bershadsky algebras at the quantum level. hep-th/9509088 ENSLAPP-AL-536/95 September 1995 URA 14-36 du CNRS, associée à l’Ecole Normale Supérieure de Lyon et à l’Université de Savoie, 1 Groupe d’Annecy: LAPP, Chemin de Bellevue BP 110, F-74941 Annecy-le-Vieux Cedex, France. 2 Groupe de Lyon: ENS Lyon, 46 allée d’Italie, F-69364 Lyon Cedex 07,France.
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