• Corpus ID: 219636365

# Quantum-classical correspondence for supersymmetric Gaudin magnets with boundary

@article{Vasilyev2020QuantumclassicalCF,
title={Quantum-classical correspondence for supersymmetric Gaudin magnets with boundary},
author={Maksim Vasilyev and A. Zabrodin and Andrei Vladimirovich Zotov},
journal={arXiv: Mathematical Physics},
year={2020}
}
• Published 11 June 2020
• Physics
• arXiv: Mathematical Physics
We extend duality between the quantum integrable Gaudin models with boundary and the classical Calogero-Moser systems associated with root systems of classical Lie algebras $B_N$, $C_N$, $D_N$ to the case of supersymmetric ${\rm gl}(m|n)$ Gaudin models with $m+n=2$. Namely, we show that the spectra of quantum Hamiltonians for all such magnets being identified with the classical particles velocities provide the zero level of the classical action variables.

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