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Higher Sugawara Operators for the Quantum Affine Algebras of Type A
Authors:Luc Frappat  Naihuan Jing  Alexander Molev  Eric Ragoucy
Abstract:We give explicit formulas for the elements of the center of the completed quantum affine algebra in type A at the critical level that 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 ({{mathcal W}})-algebra of Frenkel and Reshetikhin.
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