Explicit generators in rectangular affine W-algebras of type A

Abstract

We produce in an explicit form free generators of the affine 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.

13 pages, with some changes and corrections

References in corpus (2)

• Rationality of W-algebras: principal nilpotent cases
• Classical W-algebras in types A, B, C, D and G

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