Scattering amplitudes as multi-particle higher-spin charges in the correspondence space

TL;DR

This paper reformulates multi-particle scattering amplitudes as conserved higher-spin charges within a correspondence space, unifying twistor and space-time approaches and providing a new perspective on amplitude calculations.

Contribution

It introduces a novel representation of scattering amplitudes as higher-spin charges using unfolded dynamics, linking twistor and space-time integral formulations.

Findings

Tree MHV amplitudes of Yang-Mills theory are explicitly analyzed.

The reformulation simplifies the understanding of amplitude structures.

The method can relate different amplitude calculation approaches.

Abstract

Following the proposal of arXiv:1312.6673, multi-particle scattering amplitudes are represented as conserved higher-spin charges. The advantage of such reformulation is that multi-particle amplitudes acquire the form of an integral of a closed form in the correspondence unifying usual space-time with the twistor-like spinor space. This allows one to identify seemingly different formulae for amplitudes in terms of twistor and space-time integrals. Example of tree MHV amplitudes of Yang-Mills theory is considered in detail. Our results are derived using unfolded dynamics formulation of massless fields. In these terms all information on the amplitude is contained in a single function $\eta$ that, even for lower spin amplitudes, can be interpreted as a higher-spin symmetry parameter. The proposed technique can be useful to relate different approaches to amplitude calculations.