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Affine supersymmetric pairs
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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BibTeX
@misc{mudrov2026affine,
title = {{Affine supersymmetric pairs}},
author = {Andrey Mudrov and Vladimir Stukopin},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.22434},
eprint = {2608.22434},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.22434},
}
RIS
TY - UNPB
TI - Affine supersymmetric pairs
AU - Andrey Mudrov
AU - Vladimir Stukopin
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2608.22434
UR - https://arxiv.org/abs/2608.22434
AB - 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.
ER -