PreprintExplicit generators in rectangular affine \(\mathcal{W}\)algebras of type \(A\)Tomoyuki Arakawa and Alexander MolevAbstractWe produce in an explicit form free generators of the affine \(\mathcal{W}\)algebra of type \(A\) associated with a nilpotent matrix whose Jordan blocks are of the same size. This includes the principal nilpotent case and we thus recover the quantum Miura transformation of Fateev and Lukyanov. This paper is available as a pdf (128kB) file.
