Bethe ansatz diagonalization of the Heun-Racah operator
arXiv:2209.09213 · doi:10.1007/s11005-023-01633-7
Abstract
The Heun-Racah operator is diagonalized with the help of the modified algebraic Bethe ansatz. This operator is the most general bilinear expression in two generators of the Racah algebra. A presentation of this algebra is given in terms of dynamical operators, and allows the construction of Bethe vectors for the Heun-Racah operator. The associated Bethe equations are derived for both the homogeneous and inhomogeneous cases.
References in corpus (24)
- Off-diagonal Bethe ansatz and exact solution of a topological spin ring
- Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
- Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
- Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases
- Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof
- Superintegrability in two dimensions and the Racah-Wilson algebra
- Inhomogeneous T-Q equation for the open XXX chain with general boundary terms: completeness and arbitrary spin
- Free-fermion entanglement and spheroidal functions
- Free-Fermion entanglement and orthogonal polynomials
- Algebraic Heun operator and band-time limiting
- Tridiagonalization and the Heun equation
- Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
- The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type
- Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
- Entanglement in Fermionic Chains and Bispectrality
- Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries
- Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero
- Heun operator of Lie type and the modified algebraic Bethe ansatz
- Heun algebras of Lie type
- The Heun-Racah and Heun-Bannai-Ito algebras
- Entanglement of Free Fermions on Hadamard Graphs
- Truncation of the reflection algebra and the Hahn algebra
- New realizations of algebras of the Askey-Wilson type in terms of Lie and quantum algebras
- Time and band limiting operator and Bethe ansatz