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      Twist deformation of l-conformal Galilei Hopf algebra

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          Abstract

          The six Abelian twist-deformations of l-conformal Galilei Hopf algebra are considered. The corresponding twisted space-times are derived as well.

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          Schrodinger Equations for Higher Order Non-relativistic Particles and N-Galilean Conformal Symmetry

          We consider Schrodinger equations for a non-relativistic particle obeying N+1-th order higher derivative classical equation of motion. These equations are invariant under N(odd)-extended Galilean conformal (NGC) algebras in general d+1 dimensions. In 2+1 dimensions, the exotic Schrodinger equations are invariant under N(even)-GCA.
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            Galilean Conformal Mechanics from Nonlinear Realizations

            We apply the nonlinear realizations method for constructing new Galilean conformal mechanics models. Our starting point is the Galilean conformal algebra which is a non-relativistic contraction of its relativistic counterpart. We calculate Maurer-Cartan one-forms, examine various choices of the relevant coset spaces and consider the geometric inverse Higgs-type constraints which reduce the number of the independent coset parameters and, in some cases, provide dynamical equations. New Galilean conformally invariant actions are derived in arbitrary space-time dimension D=d+1 (no central charges), as well as in the special dimension D=2+1 with one "exotic" central charge. We obtain new classical mechanics models which extend the standard (D=0+1) conformal mechanics in the presence of d non-vanishing space dimensions.
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              Strings in plane-fronted gravitational waves

              Brinkmann's plane-fronted gravitational waves with parallel rays --~shortly pp-waves~-- are shown to provide, under suitable conditions, exact string vacua at all orders of the sigma-model perturbation expansion.
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                Author and article information

                Journal
                03 July 2013
                Article
                1307.1140
                f3a6f508-844a-4f9e-9229-5e7cf23c6b30

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Adv. Studies Theor. Phys. 7 (2013) 471-478
                8 pages, latex source
                hep-th

                High energy & Particle physics
                High energy & Particle physics

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