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arXiv · 1707.09140

Vertex operator representations of quantum affine superalgebras

Ying Xu·Ruibin Zhang
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Abstract

Let Uq(g) be the quantum affine superalgebra associated with an affine Kac-Moody superalgebra g which belongs to the three series osp(1|2n)^(1),sl(1|2n)^(2) and osp(2|2n)^(2). We develop vertex operator constructions for the level 1 irreducible integrable highest weight representations and classify the finite dimensional irreducible representations of Uq(g). This makes essential use of the Drinfeld realisation for Uq(g), and quantum correspondences between affine Kac-Moody superalgebras, developed in earlier papers.

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Ying Xu, Ruibin Zhang. 2017-07-28. Vertex operator representations of quantum affine superalgebras. https://arxiv.org/abs/1707.09140

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