Conformal Supergravity in Twistor-String Theory

TL;DR

This paper investigates conformal supergravity within twistor-string theory, relating string modes to supergravity particles, and computes tree-level supergraviton scattering amplitudes, highlighting their impact on loop amplitudes in Yang-Mills theories.

Contribution

It establishes a connection between twistor-string modes and conformal supergravity, and provides explicit calculations of supergraviton scattering amplitudes within this framework.

Findings

Conformal supergravity modes are related to specific string modes in twistor-string theory.

Tree-level supergraviton scattering amplitudes are computed and match theoretical expectations.

Supergravity states influence loop amplitudes of Yang-Mills fields, affecting their comparison with pure super Yang-Mills theory.

Abstract

Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory, relating the relevant string modes to the particles and fields of conformal supergravity. We also use the twistor-string theory to compute some tree level scattering amplitudes with supergravitons, and compare to expectations from conformal supergravity. Since the supergravitons interact with the same coupling constant as the Yang-Mills fields, conformal supergravity states will contribute to loop amplitudes of Yang-Mills gluons in these theories. Those loop amplitudes will therefore not coincide with the loop amplitudes of pure super Yang-Mills theory.