Drinfeld realisations and vertex operator representations of quantum affine superalgebras

Ying Xu; Ruibin Zhang

Drinfeld realisations and vertex operator representations of quantum affine superalgebras

Quantum Algebra 2018-02-28 v1

Authors: Ying Xu , Ruibin Zhang

Abstract

Drinfeld realisations are constructed for the quantum affine superalgebras of the series ${\rm\mathfrak{osp}}(1|2n)^{(1)}$ , ${\rm\mathfrak{sl}}(1|2n)^{(2)}$ and ${\rm\mathfrak{osp}}(2|2n)^{(2)}$ . By using the realisations, we develop vertex operator representations and classify the finite dimensional irreducible representations for these quantum affine superalgebras.

Keywords

quantum affine superalgebras Drinfeld realisations vertex operator representations irreducible representations osp sl

Cite

@article{arxiv.1802.09702,
  title  = {Drinfeld realisations and vertex operator representations of quantum affine superalgebras},
  author = {Ying Xu and Ruibin Zhang},
  journal= {arXiv preprint arXiv:1802.09702},
  year   = {2018}
}

Comments

This paper combines and supersedes two prior papers arXiv:1611.06449 and arXiv:1707.09140

Drinfeld realisations and vertex operator representations of quantum affine superalgebras

Abstract

Keywords

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