The Heun-Racah and Heun-Bannai-Ito algebras

Abstract

This paper introduces and studies the Heun-Racah and Heun-Bannai-Ito algebras abstractly and establishes the relation between these new algebraic structures and generalized Heun-type operators derived from the notion of algebraic Heun operators in the case of the Racah and Bannai-Ito algebras.

arXiv comment18 pages

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Cited by in corpus (8)

• Heun operator of Lie type and the modified algebraic Bethe ansatz
• Degenerate Sklyanin algebras, Askey-Wilson polynomials and Heun operators
• Sklyanin-like algebras for ($q$-)linear grids and ($q$-)para-Krawtchouk polynomials
• Bethe ansatz diagonalization of the Heun-Racah operator
• The rational Sklyanin algebra and the Wilson and para-Racah polynomials
• Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
• The missing label of ${\mathfrak{su}}_3$ and its symmetry
• On the construction of polynomial Poisson algebras: a novel grading approach