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

M. Vasilyev, A. Zabrodin, A. Zotov

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1 Citation (Scopus)


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 BN, CN, DN to the case of supersymmetric gl(m|n) Gaudin models with m + n = 2. Namely,we show that the spectra of quantumHamiltonians for all such magnets being identified with the classical particles velocities provide the zero level of the classical action variables.

Original languageEnglish
Article number494002
JournalJournal of Physics A: Mathematical and Theoretical
Issue number49
Publication statusPublished - Dec 2020


  • Integrable systems
  • Quantum-classical duality
  • Supersymmetric Gaudin models


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