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arXiv · 2607.24379

Intertwiners of representations of exceptional type quantum affine superalgebras

Keshav Dahiya·Evgeny Mukhin
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Abstract

We give explicit formulas for the smallest non-trivial irreducible representation $V$ of quantum affine superalgebras in types D$_{2\vert 1;\alpha}$, $\dim V=18$ (in the all-fermionic parity), F$_{3\vert 1}$, $\dim V=41$ (in the distinguished parity), and G$_{2\vert 1}$, $\dim V=32$ (in the distinguished parity), both in the Drinfeld-Jimbo and in the new Drinfeld realizations. We use this information to obtain an explicit expression for the corresponding $R$-matrices.

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Keshav Dahiya, Evgeny Mukhin. 2026-07-27. Intertwiners of representations of exceptional type quantum affine superalgebras. https://arxiv.org/abs/2607.24379

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