Conformal higher spin scattering amplitudes from twistor space

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.

31 pages, no figures. v2: comments added, published version

References in corpus (13)

• Einstein Gravity from Conformal Gravity
• Light-Front Higher-Spin Theories in Flat Space
• Consistency Conditions on the S-Matrix of Massless Particles
• Effective action in a higher-spin background
• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Gravity from Rational Curves
• A simple formula for gravitational MHV amplitudes
• Higher-Spin Algebras, Holography and Flat Space
• On triviality of S-matrix in conformal higher spin theory
• On conformal higher spin wave operators
• Off-Shell Spinor-Helicity Amplitudes from Light-Cone Deformation Procedure
• Investigations into Light-front Quartic Interactions for Massless Fields (I): Non-constructibility of Higher Spin Quartic Amplitudes
• Lagrangian conformal higher spin theory

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