Center of the quantum affine vertex algebra in type \(A\)

Naihuan Jing, Slaven Kožić, Alexander Molev and Fan Yang

Abstract

We consider the quantum vertex algebra associated with the double Yangian in type \(A\) as defined by Etingof and Kazhdan. We show that its center is a commutative associative algebra and construct algebraically independent families of topological generators of the center at the critical level.