Remarks on l-conformal extension of the Newton-Hooke algebra

Abstract

The l-conformal extension of the Newton-Hooke algebra proposed in [J. Math. Phys. 38 (1997) 3810] is formulated in the basis in which the flat space limit is unambiguous. Admissible central charges are specified. The infinite-dimensional Virasoro-Kac-Moody type extension is given.

arXiv commentV3: terminology improved, one reference added; the version to appear in PLB

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Cited by in corpus (44)

• Schrodinger Equations for Higher Order Non-relativistic Particles and N-Galilean Conformal Symmetry
• Dynamical realization of l-conformal Galilei algebra and oscillators
• Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
• Dynamical realizations of l-conformal Newton-Hooke group
• Nonrelativistic conformal groups and their dynamical realizations
• Conformal Newton-Hooke algebras, Niederer's transformation and Pais-Uhlenbeck oscillator
• Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
• On dynamical realizations of l-conformal Galilei groups
• On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras
• Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations
• Ricci-flat spacetimes with l-conformal Galilei symmetry
• Dynamical realizations of N=1 l-conformal Galilei superalgebra
• N=2 supersymmetric extension of l-conformal Galilei algebra
• Ricci-flat spacetimes admitting higher rank Killing tensors
• N = 2 Galilean superconformal algebras with central extension
• The odd-order Pais-Uhlenbeck oscillator
• Nonrelativistic conformal transformations in Lagrangian formalism
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• Unitary representations of N-conformal Galilei group
• Minimal realization of $\ell$-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation
• Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
• Remark on higher-derivative mechanics with l-conformal Galilei symmetry
• Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1
• Free Particle Wave Function and Niederer's Transformation
• New realizations of N=2 l-conformal Newton-Hooke superalgebra
• Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry
• N=2 supersymmetric Pais-Uhlenbeck oscillator
• 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
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry
• Perfect fluid dynamics with conformal Newton-Hooke symmetries
• Nonlocal dynamics and infinite non-relativistic conformal symmetries
• On the Schwarzian counterparts of conformal mechanics
• Casimir operators of centrally extended l-conformal Galilei algebra
• Nonlinear realizations and the orbit method
• Perfect fluid coupled to a solenoidal field which enjoys the l-conformal Galilei symmetry
• Classification of simple weight modules over the 1-spatial ageing algebra
• Conformal symmetry in damped Pais-Uhlenbeck oscillator
• N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator
• The category of weight modules for symplectic oscillator Lie algebras
• Remarks on Galilean electromagnetism