1995/10/10 by J. O. Madsen, Madsen, J. O., E. Ragoucy +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9510061
23 pages, LaTex
arxiv created 1995/10/16 · arxiv updated 2009/11/30
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 Wn algebras; W(sl(3|1),sl(3)) and W(osp(1|4),sp(4)) = WB2 superalgebras.