Quantum Sugawara operators in ${\mathrm{U}}_q({\widehat{\mathfrak{gl}}}_{M|N})$

Abstract

We construct Sugawara operators for the quantum affine superalgebra ${\mathrm{U}}_q({\widehat{\mathfrak{gl}}}_{M|N})$ in an explicit form which generalizes the results given in \cite{JLM} for the quantum affine algebras. We also calculate the Harish-Chandra images of the Sugawara operators.