$\mathcal{N}{=}\,4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model

Sergey Fedoruk

$\mathcal{N}{=}\,4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model

High Energy Physics - Theory 2020-08-04 v2

Authors: Sergey Fedoruk

Abstract

The $\mathcal{N}{=}\,4$ supersymmetric $\mathrm{U}(2)$ -spin hyperbolic Calogero-Sutherland model with odd matrix fields is examined. Explicit form of the $\mathcal{N}{=}\,4$ supersymmetry generators is derived. The Lax representation for the dynamics of the $\mathcal{N}{=}\,4$ hyperbolic $\mathrm{U}(2)$ -spin Calogero-Sutherland system is found. The reduction to the $\mathcal{N}{=}\,4$ supersymmetric spinless hyperbolic Calogero-Sutherland system is established.

Keywords

calogero models supersymmetry

Cite

@article{arxiv.2007.11424,
  title  = {$\mathcal{N}{=}\,4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model},
  author = {Sergey Fedoruk},
  journal= {arXiv preprint arXiv:2007.11424},
  year   = {2020}
}

Comments

1+15 pages; v2: comparison of N=2 and N=4 cases added

Related papers

View all related →