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.

18 pages

References in corpus (4)

• Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases
• Bispectrality of the Complementary Bannai-Ito Polynomials
• The Bannai-Ito algebra and some applications
• Embeddings of the Racah Algebra into the Bannai-Ito Algebra

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• 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