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Quantum SU(2|1) supersymmetric Calogero-Moser spinning systems

  • Sergey Fedoruk
  • Evgeny Ivanov
  • Olaf LechtenfeldEmail author
  • Stepan Sidorov
Open Access
Regular Article - Theoretical Physics

Abstract

SU(2|1) supersymmetric multi-particle quantum mechanics with additional semi-dynamical spin degrees of freedom is considered. In particular, we provide an \( \mathcal{N}=4 \) supersymmetrization of the quantum U(2) spin Calogero-Moser model, with an intrinsic mass parameter coming from the centrally-extended superalgebra \( \widehat{su}\left(2\Big|1\right) \). The full system admits an SU(2|1) covariant separation into the center-of-mass sector and the quotient. We derive explicit expressions for the classical and quantum SU(2|1) generators in both sectors as well as for the total system, and we determine the relevant energy spectra, degeneracies, and the sets of physical states.

Keywords

Extended Supersymmetry Field Theories in Lower Dimensions Matrix Models Superspaces 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Sergey Fedoruk
    • 1
  • Evgeny Ivanov
    • 1
  • Olaf Lechtenfeld
    • 2
    Email author
  • Stepan Sidorov
    • 1
  1. 1.Bogoliubov Laboratory of Theoretical PhysicsJINRDubnaRussia
  2. 2.Institut für Theoretische Physik and Riemann Center for Geometry and PhysicsLeibniz Universität HannoverHannoverGermany

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