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.

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 Tuesday, March 1, 2016