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

Naihuan Jing; Ming Liu; Jian Zhang

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arXiv · 2607.16627

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

Naihuan Jing·Ming Liu·Jian Zhang

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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.

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BibTeX RIS

Naihuan Jing, Ming Liu, Jian Zhang. 2026-07-18. Quantum Sugawara operators in $\mathrm{U}_q(\widehat{\mathfrak{gl}}_{M|N})$. https://arxiv.org/abs/2607.16627

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