On N=2 supersymmetric Ruijsenaars–Schneider models

authored by

Sergey Krivonos, Olaf Lechtenfeld

Abstract

We construct an N=2 supersymmetric extension of n-particle Ruijsenaars–Schneider models. The guiding feature is a deformation of the phase space. The supercharges have a “free” form linear in the fermions but produce an interacting four-fermion Hamiltonian. A field-dependent unitary transformation maps to standard fermions obeying conventional Poisson brackets. In this frame, the supercharges and Hamiltonian have long “fermionic tails”. We also comment on previous attempts in this direction.

Organisation(s)

Institut für Theoretische Physik

External Organisation(s)

Joint Institute for Nuclear Research (JINR)

Type

Artikel

Journal

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volume

807

ISSN

0370-2693

Publication date

10.08.2020

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.48550/arXiv.2005.06486 (Access: Offen)
https://doi.org/10.1016/j.physletb.2020.135545 (Access: Offen)