engleski

Quantum current algebras associated with rational R-matrix

We study quantum current algebra A(R) associated with the rational R-matrix of glN and we give explicit formulae for the elements of its center at the critical level. Due to Etingof-Kazhdan's construction, the level c vacuum module Vc(R) for the algebra A(R) possesses a quantum vertex algebra structure for any complex number c. We prove that any module for the quantum vertex algebra Vc(R) is naturally equipped with a structure of restricted A(R)-module of level c and vice versa.

Quantum current ; Quantum vertex algebra ; Double Yangian

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