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arXiv · 2306.02714

Superspace realizations of the Bannai-Ito algebra

N. Crampe·H. De Bie·P. Iliev·L. Vinet
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Abstract

A model of the Bannai-Ito algebra in a superspace is introduced. It is obtained from the three-fold tensor product of the basic realization of the Lie superalgebra $osp(1|2)$ in terms of operators in one continuous and one Grassmanian variable. The basis vectors of the resulting Bannai-Ito algebra module involve Jacobi polynomials.

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N. Crampe, H. De Bie, P. Iliev, L. Vinet. 2023-06-05. Superspace realizations of the Bannai-Ito algebra. https://doi.org/10.1007/s11005-023-01731-6

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