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

Arakawa, Tomoyuki; Molev, Alexander

doi:10.1007/s11005-016-0890-2

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

Mar 5, 2014

13 pages

Published in:

Lett.Math.Phys. 107 (2017) 1, 47-59

Published: Oct 31, 2016

e-Print:

1403.1017 [math.RT]

DOI:

10.1007/s11005-016-0890-2

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Abstract: (Springer)

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.

Note:

13 pages, with some changes and corrections

Vertex algebra
Affine W-algebra
Miura transformation

References(20)

Figures(0)

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