On N=2 supersymmetric Ruijsenaars–Schneider models

Sergey Krivonos; Olaf Lechtenfeld

doi:10.48550/arXiv.2005.06486

On N=2 supersymmetric Ruijsenaars–Schneider models

Sergey Krivonos
, Olaf Lechtenfeld^*

^*Korrespondierende*r Autor*in für diese Arbeit

Institut für Theoretische Physik

Joint Institute for Nuclear Research (JINR)

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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.

Originalsprache	Englisch
Aufsatznummer	135545
Fachzeitschrift	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Jahrgang	807
Elektronisch veröffentlicht (E-Pub)	8 Juni 2020
DOIs	https://doi.org/10.48550/arXiv.2005.06486 https://doi.org/10.1016/j.physletb.2020.135545
Publikationsstatus	Veröffentlicht - 10 Aug. 2020

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Zugriff auf Dokument

10.48550/arXiv.2005.06486Lizenz: Arxiv nonexclusive-distrib 1.0
10.1016/j.physletb.2020.135545Lizenz: CC BY 4.0

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AB - 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.

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