Heun operator of Lie type and the modified algebraic Bethe ansatz

DOI10.1063/5.0041097zbMATH Open1472.81091arXiv2011.11659OpenAlexW3107176530MaRDI QIDQ4958128

Author name not available (Why is that?)

Publication date: 6 September 2021

Published in: (Search for Journal in Brave)

Abstract: The generic Heun operator of Lie type is identified as a certain $BC$-Gaudin magnet Hamiltonian in a magnetic field. By using the modified algebraic Bethe ansatz introduced to diagonalize such Gaudin models, we obtain the spectrum of the generic Heun operator of Lie type in terms of the Bethe roots of inhomogeneous Bethe equations. We show also that these Bethe roots are intimately associated to the roots of polynomial solutions of the differential Heun equation. We illustrate the use of this approach in two contexts: the representation theory of $O(3)$ and the computation of the entanglement entropy for free Fermions on the Krawtchouk chain.

Full work available at URL: https://arxiv.org/abs/2011.11659

Mathematics Subject Classification ID

No records found.

This page was built for publication: Heun operator of Lie type and the modified algebraic Bethe ansatz

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4958128)