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arXiv · 1503.03699

N=2 supersymmetric Pais-Uhlenbeck oscillator

Ivan Masterov
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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.

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Ivan Masterov. 2015-05-29. N=2 supersymmetric Pais-Uhlenbeck oscillator. https://doi.org/10.1142/s0217732315501072

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