English

New approach to ${\cal N} {=}2$ supersymmetric Ruijsenaars-Schneider model

High Energy Physics - Theory 2021-03-05 v1 Mathematical Physics math.MP

Abstract

We present a very simple form of the supercharges and the Hamiltonian of N=2{\cal N} {=}\,2 supersymmetric extension of nn-particle Ruijsenaars--Schneider models for three cases of the interaction: 1/(xixj)1/(x_i-x_j), 1/tan(xixj)1/tan(x_i-x_j), 1/tanh(xixj)1/tanh(x_i-x_j). The long "fermionic tails" of the supercharges and Hamiltonian rolled up in the simple rational functions depending on fermionic bilinears.

Keywords

Cite

@article{arxiv.2103.02925,
  title  = {New approach to ${\cal N} {=}2$ supersymmetric Ruijsenaars-Schneider model},
  author = {Nikolay Kozyrev and Sergey Krivonos and Olaf Lechtenfeld},
  journal= {arXiv preprint arXiv:2103.02925},
  year   = {2021}
}

Comments

12 pages, prepared according to PoS rules as a contribution to RDP Online Workshop on Mathematical Physics, 5-6 December 2020, includes pos.sty and PoSlogo.pdf