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.
A Simple Particle Action from a Twistor Parametrization of AdS_5
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abstract
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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hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.
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Worldline Higher Spin Gravity
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.
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Embedding formalism for anti-de Sitter superspaces
Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.