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Oscillator representations of quantum affine orthosymplectic superalgebras II

  • Jae-Hoon Kwon
  • Sin-Myung Lee
  • Masato Okado
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Abstract

As a continuation of our study on quantum affine spin-oscillator correspondence, we introduce a category of q-oscillator representations of quantum affine superalgebras of type XB (X=B,D) and construct irreducible objects in a uniform way. Under the truncation functor inspired by the theory of super duality, they are related to finite-dimensional irreducible representations of Uq(D(2)n+1) (X=B) or Uq(B(1)n) (X=D). We also considerably streamline our previous arguments, which clarifies how our construction can be understood as a quantum affinization of classical super duality.

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Cite

BibTeXRIS
BibTeX
@misc{kwon2026oscillator,
  title = {{Oscillator representations of quantum affine orthosymplectic superalgebras II}},
  author = {Jae-Hoon Kwon and Sin-Myung Lee and Masato Okado},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28249},
  eprint = {2610.28249},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28249},
}
RIS
TY  - UNPB
TI  - Oscillator representations of quantum affine orthosymplectic superalgebras II
AU  - Jae-Hoon Kwon
AU  - Sin-Myung Lee
AU  - Masato Okado
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28249
UR  - https://arxiv.org/abs/2610.28249
AB  - As a continuation of our study on quantum affine spin-oscillator correspondence, we introduce a category of q-oscillator representations of quantum affine superalgebras of type XB (X=B,D) and construct irreducible objects in a uniform way. Under the truncation functor inspired by the theory of super duality, they are related to finite-dimensional irreducible representations of U_q(D^(2)_n+1) (X=B) or U_q(B^(1)_n) (X=D). We also considerably streamline our previous arguments, which clarifies how our construction can be understood as a quantum affinization of classical super duality.
ER  -