Ricci-flat spacetimes with l-conformal Galilei symmetry
arXiv:1512.06226 · doi:10.1016/j.physletb.2016.01.042
Abstract
Ricci-flat metrics of the ultrahyperbolic signature which enjoy the l-conformal Galilei symmetry are constructed. They involve the AdS_2-metric in a way similar to the near horizon black hole geometries. The associated geodesic equations are shown to describe a second order dynamical system for which the acceleration generators are functionally independent.
V2: refs. added, the version to appear in PLB
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- Remark on higher-derivative mechanics with l-conformal Galilei symmetry
- A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras
- Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry
- On Casimir Operators of Conformal Galilei Algebras
- N=2 superparticle near horizon of a magnetized Kerr black hole
- Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
- Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry
- Superfield approach to higher derivative N=1 superconformal mechanics
- Casimir operators of centrally extended l-conformal Galilei algebra
- Perfect fluid coupled to a solenoidal field which enjoys the l-conformal Galilei symmetry
- Aspects of infinite dimensional -super Galilean conformal algebra
- Remarks on Galilean electromagnetism