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arXiv · 2512.15897

On the theory of $q$-characters for quantum affine superalgebras of type $A$

Sin-Myung Lee
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Abstract

We develop the theory of $q$-characters for quantum affine superalgebras of type $A$ in connection with deformed Cartan matrices. To achieve this, we establish a Khoroshkin-Tolstoy-type multiplicative formula of the universal $R$-matrix of the associated generalized quantum group, from which one can read off a 2-parameter deformation of Cartan matrices of super type $A$. We also propose a Frenkel-Mukhin-type algorithm for $q$-characters of finite-dimensional simple modules with integral highest $\ell$-weights.

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BibTeXRIS

Sin-Myung Lee. 2025-12-17. On the theory of $q$-characters for quantum affine superalgebras of type $A$. https://arxiv.org/abs/2512.15897

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