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.
Conformal higher spin scattering amplitudes from twistor space
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abstract
We use the formulation of conformal higher spin (CHS) theories in twistor space to study their tree-level scattering amplitudes, finding expressions for all three-point anti-MHV amplitudes and all MHV amplitudes involving positive helicity conformal gravity particles and two negative helicity higher spins. This provides the on-shell analogue for the covariant coupling of CHS fields to a conformal gravity background. We discuss the restriction of the theory to a ghost-free unitary subsector, analogous to restricting conformal gravity to general relativity with a cosmological constant. We study the flat-space limit and show that the restricted amplitudes vanish, supporting the conjecture that in the unitary sector the S-matrix of CHS theories is trivial. However, by appropriately rescaling the amplitudes we find non-vanishing results which we compare with chiral flat-space higher spin theories.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Higher-spin self-dual gravity arises by embedding 4D spacetime into an infinite-dimensional manifold of holomorphic planes in a boundedly deformed twistor space, with higher-spin symmetries from different embeddings and integrability via a Lax pair.
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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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Higher-spin self-dual gravity from holomorphic planes in twistor space
Higher-spin self-dual gravity arises by embedding 4D spacetime into an infinite-dimensional manifold of holomorphic planes in a boundedly deformed twistor space, with higher-spin symmetries from different embeddings and integrability via a Lax pair.