A Simple Particle Action from a Twistor Parametrization of AdS_5

Details A Simple Particle Action from a Twistor Parametrization of AdS_5 A Simple Particle Action from a Twistor Parametrization of AdS_5

1999-06-15

arxiv.org/abs/hep-th/9906118v1

Phys.Lett.B466:181-189,1999

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1016/S0370-2693(99)01128-4

The SO(4,2) isometries of AdS_5 are realized non-linearly on its horospherical coordinates (x^m,\rho). On the other hand, Penrose twistors have long been known to linearly realize these symmetries on 4-dimensional Minkowski space, the boundary of AdS_5, parametrized by x^m. Here we extend the twistor construction and define a pair of twistors, allowing us to include a radial coordinate in the construction. The linear action of SO(4,2) on the twistors induces the correct isometries of AdS_5. We apply this new construction to the study of the dynamics of a massive particle in AdS_5. We show that in terms of the twistor variables the action takes a simple form of a 1-dimensional gauge theory. Our result might open up the possibility to find a simple worldvolume action also for the string propagating on AdS_5.

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