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

Understand

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.