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arXiv · 2006.06717

Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary

M. Vasilyev·A. Zabrodin·A. Zotov
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Abstract

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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M. Vasilyev, A. Zabrodin, A. Zotov. 2020-06-11. Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary. https://doi.org/10.1088/1751-8121%2Fabbf07

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