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.