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

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.

24 pages

References in corpus (1)

• Higher Sugawara operators for the quantum affine algebras of type A

Cited by in corpus (5)

• On the quantum affine vertex algebra associated with trigonometric $R$-matrix
• Higher order Hamiltonians for the trigonometric Gaudin model
• On two families of quantum vertex algebras of FRT-type
• Quantum Sugawara operators in type $A$
• On the $h$-adic quantum vertex algebras associated with Hecke symmetries