Acceleration-extended Galilean Symmetries with Central Charges and Their Dynamical Realizations

نویسندگان

  • J. Lukierski
  • W. J. Zakrzewski
چکیده

We add to Galilean symmetries the transformations describing constant accelerations. The corresponding extended Galilean algebra allows, in any dimension D = d + 1, the introduction of one central charge c while in D = 2 + 1 we can have three such charges: c, θ and θ. We present nonrelativistic classical mechanics models, with higher order time derivatives and show that they give dynamical realizations of our algebras. The presence of central charge c requires the acceleration square Lagrangian term. We show that the general Lagrangian with three central charges can be reinterpreted as describing an exotic planar particle coupled to a dynamical electric and a constant magnetic field. ∗Supported by the KBN grant 1P03B01828

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تاریخ انتشار 2007