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2015

N=2 supersymmetric Pais-Uhlenbeck oscillator

Masterov, Ivan

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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.

N=2 supersymmetric Pais-Uhlenbeck oscillator · Around

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