Explicit generators in rectangular affine \(\mathcal{W}\)-algebras of type \(A\)

Tomoyuki Arakawa and Alexander Molev


We 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.

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Monday, March 10, 2014