N = 2 supersymmetric Pais-Uhlenbeck oscillator

Abstract

We construct an N = 2 supersymmetric extension of the Pais-Uhlenbeck oscillator for distinct frequencies of oscillation. A link to a set of decoupled N = 2 supersymmetric harmonic oscillators with alternating sign in the Hamiltonian is introduced. Symmetries of the model are discussed in detail. The investigation of a quantum counterpart of the constructed model shows that the corresponding Fock space contains negative norm states and the energy spectrum of the system is unbounded from below.

Original language	English
Article number	1550107
Journal	Modern Physics Letters A
Volume	30
Issue number	21
DOIs	https://doi.org/10.1142/S0217732315501072
Publication status	Published - 10 Jul 2015

Keywords

Newton-Hooke algebra
Pais-Uhlenbeck oscillator
supersymmetry

ASJC Scopus subject areas

Astronomy and Astrophysics
Nuclear and High Energy Physics

Access to Document

10.1142/S0217732315501072

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Masterov, I. (2015). N = 2 supersymmetric Pais-Uhlenbeck oscillator. Modern Physics Letters A, 30(21), [1550107]. https://doi.org/10.1142/S0217732315501072

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AB - We construct an N = 2 supersymmetric extension of the Pais-Uhlenbeck oscillator for distinct frequencies of oscillation. A link to a set of decoupled N = 2 supersymmetric harmonic oscillators with alternating sign in the Hamiltonian is introduced. Symmetries of the model are discussed in detail. The investigation of a quantum counterpart of the constructed model shows that the corresponding Fock space contains negative norm states and the energy spectrum of the system is unbounded from below.

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