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Rank reduction in orthosymplectic types

  • Kyungtak Hong
  • Alexander Tsymbaliuk
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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.

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Cite

BibTeXRIS
BibTeX
@misc{hong2026rank,
  title = {{Rank reduction in orthosymplectic types}},
  author = {Kyungtak Hong and Alexander Tsymbaliuk},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37460},
  eprint = {2610.37460},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37460},
}
RIS
TY  - UNPB
TI  - Rank reduction in orthosymplectic types
AU  - Kyungtak Hong
AU  - Alexander Tsymbaliuk
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37460
UR  - https://arxiv.org/abs/2610.37460
AB  - 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.
ER  -