Superspace realizations of the Bannai-Ito algebra
Mathematical Physics
2023-10-17 v1 math.MP
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 in terms of operators in one continuous and one Grassmanian variable. The basis vectors of the resulting Bannai-Ito algebra module involve Jacobi polynomials.
Keywords
Cite
@article{arxiv.2306.02714,
title = {Superspace realizations of the Bannai-Ito algebra},
author = {N. Crampe and H. De Bie and P. Iliev and L. Vinet},
journal= {arXiv preprint arXiv:2306.02714},
year = {2023}
}