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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 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.
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Details
1 Blackett Laboratory, Imperial College, London, U.K. (GRID:grid.7445.2) (ISNI:0000 0001 2113 8111)
2 School of Mathematics, Trinity College Dublin, Dublin 2, Ireland (GRID:grid.8217.c) (ISNI:0000 0004 1936 9705)