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arXiv · 1505.03667

Higher Sugawara operators for the quantum affine algebras of type A

Luc Frappat·Naihuan Jing·Alexander Molev·Eric Ragoucy
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Abstract

We give explicit formulas for the elements of the center of the completed quantum affine algebra in type $A$ at the critical level which are associated with the fundamental representations. We calculate the images of these elements under a Harish-Chandra-type homomorphism. These images coincide with those in the free field realization of the quantum affine algebra and reproduce generators of the $q$-deformed classical $W$-algebra of Frenkel and Reshetikhin.

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Luc Frappat, Naihuan Jing, Alexander Molev, Eric Ragoucy. 2015-05-14. Higher Sugawara operators for the quantum affine algebras of type A. https://doi.org/10.1007/s00220-015-2566-7

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