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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2607.16627

Authors: Jing, Naihuan, Liu, Ming, Zhang, Jian

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7169879466

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