English

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

Mathematical Physics 2020-11-23 v2 High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems

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 BNB_N, CNC_N, DND_N to the case of supersymmetric gl(mn){\rm gl}(m|n) Gaudin models with m+n=2m+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.

Keywords

Cite

@article{arxiv.2006.06717,
  title  = {Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary},
  author = {M. Vasilyev and A. Zabrodin and A. Zotov},
  journal= {arXiv preprint arXiv:2006.06717},
  year   = {2020}
}

Comments

21 pages, minor changes