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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Communicated by Y. Kawahigashi
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Frappat, L., Jing, N., Molev, A. et al. Higher Sugawara Operators for the Quantum Affine Algebras of Type A . Commun. Math. Phys. 345, 631–657 (2016). https://doi.org/10.1007/s00220-015-2566-7
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DOI: https://doi.org/10.1007/s00220-015-2566-7