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.
Twistors and Actions on Coset Manifolds
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abstract
Particle and string actions on coset spaces typically lack a quadratic kinetic term, making their quantization difficult. We define a notion of twistors on these spaces, which are hypersurfaces in a vector space that transform linearly under the isometry group of the coset. By associating the points of the coset space with these hypersurfaces, and the internal coordinates of these hypersurfaces with momenta, it is possible to construct manifestly symmetric actions with leading quadratic terms. We give a general algorithm and work out the case of a particle on AdS_p explicitly. In this case, the resulting action is a world-line gauge theory with sources, (the gauge group depending on p) which is equivalent to a nonlocal world-line sigma-model.
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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.