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arXiv · 2608.22434

Affine supersymmetric pairs

Andrey Mudrov·Vladimir Stukopin
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Abstract

We classify Satake diagrams for general linear and orthosymplectic non-twisted affine Lie superalgebras and prove that each of them generates a family of proper spherical subalgebras. Furthermore, we demonstrate that every such family contains subalgebras with matrix invariants, which are viewed as classical analogs of K-matrices solving supersymmetric Reflection equation.

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Andrey Mudrov, Vladimir Stukopin. 2026-08-23. Affine supersymmetric pairs. https://arxiv.org/abs/2608.22434

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