Center of the quantum affine vertex algebra associated with trigonometric \(R\)-matrix

Slaven Kožić and Alexander Molev

Abstract

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