Spinor-Helicity Formalism for Massless Fields in AdS${}_4$

Abstract

In this letter we suggest a natural spinor-helicity formalism for massless fields in AdS${}_4$. It is based on the standard realization of the AdS${}_4$ isometry algebra $so(3,2)$ in terms of differential operators acting on $sl(2,\mathbb{C})$ spinor variables. We start by deriving the AdS counterpart of plane waves in flat space and then use them to evaluate simple scattering amplitudes. Finally, based on symmetry arguments we classify all three-point amplitudes involving massless spinning fields. As in flat space, we find that the spinor-helicity formalism allows to construct additional consistent interactions compared to approaches employing Lorentz tensors.

arXiv comment6+epsilon pages, clarifications and references added

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• Relation between parity-even and parity-odd CFT correlation functions in three dimensions
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• Opacity from Loops in AdS
• Toward a twistor action for chiral higher-spin gravity
• Looking for partially-massless gravity
• Spinor-helicity variables for cosmological horizons in de Sitter space
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ III: Contact Four-Point Amplitudes
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• Off-shell higher-spin fields in $Ad{S}_4$ and external currents
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• 3d conformal fields with manifest $sl(2,\mathbb{C})$
• MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter static patch
• Unfolded Dynamics Approach and Quantum Field Theory
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• 4D Flat-space scattering amplitude /$CF{T}_3$ correlator correspondence revisited
• Invariant traces of the flat space chiral higher-spin algebra as scattering amplitudes