2005/11/25 by J. Lukierski, P. Stichel, P. C. Stichel +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1016/j.physleta.2006.04.016
published as Phys.Lett.A357:1-5,2006 · LaTeX 11 pages
arxiv created 2005/11/25 · openalex publication_date 2006/04/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The six-dimensional exotic Galilean algebra in (2+1) dimensions with two central charges m and θ, is extended when m=0, to a ten-dimensional Galilean conformal algebra with dilatation, expansion, two acceleration generators and the central charge θ. A realisation of such a symmetry is provided by a model with higher derivatives recently discussed in \citepeterwojtek. We consider also a realisation of the Galilean conformal symmetry for the motion with a Coulomb potential and a magnetic vortex interaction. Finally, we study the restriction, as well as the modification, of the Galilean conformal algebra obtained after the introduction of the minimally coupled constant electric and magnetic fields.