English

On quantum $\mathfrak{osp}(1|2\ell)$-Toda chain

Representation Theory 2021-09-15 v1 Mathematical Physics math.MP

Abstract

The orthosymplectic super Lie algebra osp(12)\mathfrak{osp}(1|\,2\ell) is the closest analog of standard Lie algebras in the world of super Lie algebras. We demonstrate that the corresponding osp(12)\mathfrak{osp}(1|\,2\ell)-Toda chain turns out to be an instance of a BCBC_\ell-Toda chain. The underlying reason for this relation is discussed.

Cite

@article{arxiv.2012.08902,
  title  = {On quantum $\mathfrak{osp}(1|2\ell)$-Toda chain},
  author = {A. A. Gerasimov and D. R. Lebedev and S. V. Oblezin},
  journal= {arXiv preprint arXiv:2012.08902},
  year   = {2021}
}

Comments

17 pages

R2 v1 2026-06-23T21:00:50.219Z