Spinor-Helicity Formalism for Massless Fields in AdS$_4$ II: Potentials

TL;DR

This paper extends the spinor-helicity formalism to AdS4, deriving potentials for lower-spin fields and computing three-point amplitudes, thus advancing the understanding of massless fields in curved spacetime.

Contribution

It provides detailed derivations of potentials for lower-spin fields in AdS4 and demonstrates amplitude calculations within this generalized formalism.

Findings

Derived potentials for lower-spin fields in AdS4.

Computed three-point amplitudes without internal lines.

Validated the formalism through explicit amplitude calculations.

Abstract

In a recent letter we suggested a natural generalization of the flat-space spinor-helicity formalism in four dimensions to anti-de Sitter space. In the present paper we give some technical details that were left implicit previously. For lower-spin fields we also derive potentials associated with the previously found plane wave solutions for field strengths. We then employ these potentials to evaluate some three-point amplitudes. This analysis illustrates a typical computation of an amplitude without internal lines in our formalism.