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

Naihuan Jing; Ming Liu; Jian Zhang

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

Quantum Algebra 2026-07-18 v1

Authors: Naihuan Jing , Ming Liu , Jian Zhang

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.

Cite

@article{arxiv.2607.16627,
  title  = {Quantum Sugawara operators in $\mathrm{U}_q(\widehat{\mathfrak{gl}}_{M|N})$},
  author = {Naihuan Jing and Ming Liu and Jian Zhang},
  journal= {arXiv preprint arXiv:2607.16627},
  year   = {2026}
}