Gluon Tree Amplitudes in Open Twistor String Theory

TL;DR

This paper demonstrates how link variables can be used within twistor string theory to compute gluon tree amplitudes, revealing a unified structure that suggests an underlying string theory framework.

Contribution

It introduces a method to compute gluon tree amplitudes using link variables in twistor string theory, connecting different amplitude forms through contour integrals.

Findings

Link variables facilitate gluon amplitude calculations.

Amplitude forms can be grouped into contour integrals.

Evidence for an underlying string theory structure.

Abstract

We show how the link variables of Arkani-Hamed, Cachazo, Cheung and Kaplan (ACCK), can be used to compute general gluon tree amplitudes in the twistor string. They arise from instanton sectors labelled by d, with d=n-1, where n is the number of negative helicities. Read backwards, this shows how the various forms for the tree amplitudes studied by ACCK can be grouped into contour integrals whose structure implies the existence of an underlying string theory.