Reduction by stages holds for affine W-algebras: under conditions (⋆), W_k(g,f2) is the BRST cohomology of W_k(g,f1) with respect to f0 = f2 - f1.
Realizations of simple affine vertex algebras and their modules: The cases sl (2) and osp (2)
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Reduction by stages for affine W-algebras
Reduction by stages holds for affine W-algebras: under conditions (⋆), W_k(g,f2) is the BRST cohomology of W_k(g,f1) with respect to f0 = f2 - f1.