Spinor-helicity variables for cosmological horizons in de Sitter space

Abstract

We consider massless fields of arbitrary spin in de Sitter space. We introduce a spinor-helicity formalism, which encodes the field data on a cosmological horizon. These variables reduce the free S-matrix in an observer's causal patch, i.e. the evolution of free fields from one horizon to another, to a simple Fourier transform. We show how this result arises via twistor theory, by decomposing the horizon<->horizon problem into a pair of (more symmetric) horizon<->twistor problems.

arXiv comment5 pages; v2: improved references, introduction

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• Scattering in the static patch of de Sitter space
• Higher-spin symmetry vs. boundary locality, and a rehabilitation of dS/CFT
• MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter static patch
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• 3d conformal fields with manifest $sl(2,\mathbb{C})$