Rank reduction in orthosymplectic types

This note establishes a rank reduction for RLL-realization of quantum affine supergroups of orthosymplectic type. In the rational limit, this provides a more conceptual proof of the analogous result for orthosymplectic superYangians from arXiv:2311.18818. We also determine the exact scalar prefactor appearing in the evaluation of the universal $R$-matrix, refining the main result of arXiv:2408.16720.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-27
DOI
https://doi.org/10.48550/arxiv.2610.37460
Primary Topic
Algebraic structures and combinatorial models
Type
preprint
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preprint

Rank reduction in orthosymplectic types

Kyungtak Hong, Alexander Tsymbaliuk
arXiv (Cornell University)
Algebraic structures and combinatorial models
preprint

Rank reduction in orthosymplectic types

Kyungtak Hong, Alexander Tsymbaliuk
preprint en

Abstract

This note establishes a rank reduction for RLL-realization of quantum affine supergroups of orthosymplectic type. In the rational limit, this provides a more conceptual proof of the analogous result for orthosymplectic superYangians from arXiv:2311.18818. We also determine the exact scalar prefactor appearing in the evaluation of the universal $R$-matrix, refining the main result of arXiv:2408.16720.

arXiv (Cornell University)
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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Rank reduction in orthosymplectic types — Kyungtak Hong, Alexander Tsymbaliuk · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS