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 , , to the case of supersymmetric Gaudin models with . 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