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A Simple Particle Action from a Twistor Parametrization of AdS_5

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arxiv hep-th/9906118 v1 pith:FCDZARQW submitted 1999-06-15 hep-th

Piet Claus , J. Rahmfeld , Yonatan Zunger This is my paper · ORCID
classification hep-th
keywords actionconstructionsimpletwistortwistorsdimensionalisometriesparticle
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Worldline Higher Spin Gravity

    hep-th 2026-05 unverdicted novelty 8.0 of 10

    A worldline path integral model for higher-spin gravity in AdS4 is constructed using twistor actions and double-line vertices, reproducing boundary correlators of free boson and fermion vector models.

  2. New superparticle models in AdS superspaces

    hep-th 2025-06 conditional novelty 6.0 of 10

    New two-derivative superparticle actions are constructed in 3D and 2D AdS superspaces using a quadratic deformation of the supersymmetric interval built from the torsion superfield.

  3. Embedding formalism for anti-de Sitter superspaces

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.

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