Linearization of W algebras and W superalgebras
نویسنده
چکیده
In a recent paper, the authors have shown that the secondary reduction of W-algebras provides a natural framework for the linearization of W-algebras. In particular, it allows in a very simple way the calculation of the linear algebra W(G, H) ≥0 associated to a wide class of W(G,H) algebras, as well as the expression of the W generators of W(G,H) in terms of the generators of W(G, H) ≥0. In this paper, we present the extension of the above technique to W-superalgebras, i.e. W-algebras containing fermions and bosons of arbitrary (positive) spins. To be self-contained the paper recall the linearization of W-algebras. We include also examples such as the linearization of W n algebras; W(sℓ(3|1), sℓ(3)) and W(osp(1|4), sp(4)) ≡ WB 2 superalgebras.
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