Quantum-classical duality for Gaudin magnets with boundary

M. Vasilyev, A. Zabrodin, A. Zotov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We establish a remarkable relationship between the quantum Gaudin models with boundary and the classical many-body integrable systems of Calogero-Moser type associated with the root systems of classical Lie algebras (B, C and D). We show that under identification of spectra of the Gaudin Hamiltonians Hj G with particles velocities q˙j of the classical model all integrals of motion of the latter take zero values. This is the generalization of the quantum-classical duality observed earlier for Gaudin models with periodic boundary conditions and Calogero-Moser models associated with the root system of the type A.

Original languageEnglish
Article number114931
JournalNuclear Physics B
Volume952
DOIs
Publication statusPublished - Mar 2020

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