Non-Polynomial Realizations of W-Algebras

Details Non-Polynomial Realizations of W-Algebras Non-Polynomial Realizations of W-Algebras

1995-09-15

arxiv.org/abs/hep-th/9509088v2

Int. J. Mod. Phys. A11 (1996) 2835

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, LaTeX file, minor LaTex error corrected

Scientific paper

10.1142/S0217751X96001383

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, $W_3$, and Bershadsky algebras at the quantum level.

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