Higher Sugawara operators for the quantum affine algebras of type A

14 May 2015 · Frappat Luc, Jing Naihuan, Molev Alexander, Ragoucy Eric ·

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.

PDF Abstract

Code

Add Remove Mark official

No code implementations yet. Submit your code now

Edit Social Preview

Higher Sugawara operators for the quantum affine algebras of type A

Code Edit Add Remove Mark official

Categories

Code

Add Remove Mark official