Twistor Strings for N=8 Supergravity

TL;DR

This paper develops a twistor string theory for N=8 supergravity, connecting worldsheet models to supergravity multiplets and recovering the S-matrix in flat space through correlation functions.

Contribution

It introduces an anomaly-free worldsheet theory for N=8 supergravity and demonstrates how to derive the S-matrix from worldsheet correlators.

Findings

Anomaly-free twistor string theory for N=8 supergravity

Correspondence between vertex operators and supergravity multiplets

Recovery of the classical S-matrix from worldsheet correlators

Abstract

This paper presents a worldsheet theory describing holomorphic maps to twistor space with N fermionic directions. The theory is anomaly free when N=8. Via the Penrose transform, the vertex operators correspond to an N=8 Einstein supergravity multiplet. In the first instance, the theory describes gauged supergravity in AdS_4. Upon taking the flat space, ungauged limit, the complete classical S-matrix is recovered from worldsheet correlation functions.