Conformal Supergravity Tree Amplitudes from Open Twistor String Theory

TL;DR

This paper derives tree-level scattering amplitudes in conformal supergravity from open twistor string theory, including novel dipole states, and compares results with Einstein gravity.

Contribution

It provides explicit vertex operators for all states, including dipole pairs, and computes N-point amplitudes extending previous MHV results.

Findings

Reproduces Berkovits-Witten MHV amplitudes

Extends amplitudes to dipole pairs

Compares conformal supergravity trees with Einstein gravity

Abstract

We display the vertex operators for all states in the conformal supergravity sector of the twistor string, as outlined by Berkovits and Witten. These include `dipole' states, which are pairs of supergravitons that do not diagonalize the translation generators. We use canonical quantization of the open string version of Berkovits, and compute N-point tree level scattering amplitudes for gravitons, gluons and scalars. We reproduce the Berkovits-Witten formula for maximal helicity violating (MHV) amplitudes (which they derived using path integrals), and extend their results to the dipole pairs. We compare these trees with those of Einstein gravity field theory.