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.

Published version

References in corpus (9)

• Avoiding Dark Energy with 1/R Modifications of Gravity
• Remarks on l-conformal extension of the Newton-Hooke algebra
• Supersymmetry vs ghosts
• Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
• N=2 superconformal Newton-Hooke algebra and many-body mechanics
• Dynamical realizations of N=1 l-conformal Galilei superalgebra
• Myers-Pospelov Model as an Ensemble of Pais-Uhlenbeck Oscillators: Unitarity and Lorentz Invariance Violation
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• New realizations of N=2 l-conformal Newton-Hooke superalgebra

Cited by in corpus (1)

• N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator