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Extensions of deformed $W$-algebras via $qq$-characters

Published 3 Dec 2022 in math.QA, math-ph, and math.MP | (2212.01649v1)

Abstract: We use combinatorics of $qq$-characters to study extensions of deformed $W$-algebras. We describe additional currents and part of the relations in the cases of $\mathfrak{gl}(n|m)$ and $\mathfrak{osp}(2|2n)$.

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