• 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}
}

• M. Vasilyev, A. Zabrodin, Andrei Vladimirovich Zotov
• 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.