Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
arXiv:1402.1297 · doi:10.1016/j.nuclphysb.2014.05.025
Abstract
It is demonstrated that the Pais-Uhlenbeck oscillator in arbitrary dimension enjoys the l-conformal Newton-Hooke symmetry provided frequencies of oscillation form the arithmetic sequence omega_k=(2k-1) omega_1, where k=1,...,n, and l is the half-integer (2n-1)/2. The model is shown to be maximally superintegrable. A link to n decoupled isotropic oscillators is discussed and an interplay between the l-conformal Newton-Hooke symmetry and symmetries characterizing each individual isotropic oscillator is analyzed.
V3:Introduction extended, one reference added. The version to appear in NPB
References in corpus (14)
- Avoiding Dark Energy with 1/R Modifications of Gravity
- Non-relativistic conformal symmetries and Newton-Cartan structures
- Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
- Comments on the Dynamics of the Pais-Uhlenbeck Oscillator
- Remarks on l-conformal extension of the Newton-Hooke algebra
- Galilean Superconformal Symmetries
- Supersymmetry vs ghosts
- Remark on quantum mechanics with conformal Galilean symmetry
- Remark on quantum mechanics with N=2 Schrodinger supersymmetry
- On the instability of classical dynamics in theories with higher derivatives
- N=2 superconformal Newton-Hooke algebra and many-body mechanics
- Harmonic N=2 Mechanics
- N = 2 Galilean superconformal algebras with central extension
- Acceleration-extended Newton-Hooke symmetry and its dynamical realization
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- On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras
- Ricci-flat spacetimes with l-conformal Galilei symmetry
- Dynamical realizations of N=1 l-conformal Galilei superalgebra
- Schrödinger symmetry: a historical review
- The odd-order Pais-Uhlenbeck oscillator
- Eisenhart lift for higher derivative systems
- Equations of fluid dynamics with the l-conformal Galilei symmetry
- Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
- -oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras
- Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
- Minimal realization of -conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation
- Non-local meta-conformal invariance, diffusion-limited erosion and the XXZ chain
- Remark on higher-derivative mechanics with l-conformal Galilei symmetry
- A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras
- Invariant PDEs with Two-dimensional Exotic Centrally Extended Conformal Galilei Symmetry
- N=2 supersymmetric Pais-Uhlenbeck oscillator
- Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry
- New realizations of N=2 l-conformal Newton-Hooke superalgebra
- Higher-derivative generalization of conformal mechanics
- On Casimir Operators of Conformal Galilei Algebras
- Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
- Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras
- Various disguises of the Pais-Uhlenbeck oscillator
- Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry
- Remarks on higher Schwarzians
- Invariant PDEs of Conformal Galilei Algebra as deformations: cryptohermiticity and contractions
- Perfect fluid dynamics with conformal Newton-Hooke symmetries
- Nonlocal dynamics and infinite non-relativistic conformal symmetries
- Superfield approach to higher derivative N=1 superconformal mechanics
- Casimir operators of centrally extended l-conformal Galilei algebra
- On the Schwarzian counterparts of conformal mechanics
- (1+1) Newton-Hooke Group for the Simple and Damped Harmonic Oscillator
- N=1,2,3 l-conformal Galilei superalgebras
- SU(1,2) invariance in two-dimensional oscillator
- Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model
- Hidden symmetries of deformed oscillators
- Conformal symmetry in damped Pais-Uhlenbeck oscillator
- Oscillators from nonlinear realizations
- The Lie algebra of the lowest transitively differential group of degree three
- N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator
- The Unruh effect for higher derivative field theory
- Fractional Galilean Symmetries
- Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator
- Translational symmetries of quadratic lagrangians