Spectrum, Scattering Amplitudes, and String Field Theory of 4 Dimensional Twistor String

TL;DR

This paper explores an anomaly-free 4D twistor string, analyzing its spectrum, computing scattering amplitudes involving gravitons and fermions, and proposing a string field theory consistent with unitarity and factorization.

Contribution

It introduces a new anomaly-free 4D twistor string, computes relevant scattering amplitudes, and develops a corresponding string field theory.

Findings

Scattering amplitudes match Einstein-Yang-Mills results

Tree and one-loop amplitudes exhibit proper unitarity and factorization

Proposes a consistent string field theory for the model

Abstract

The recently introduced anomaly-free twistor string in 4 dimensions is further explored. The spectrum based on the physical states and its Minkowski interpretation are examined. Scattering amplitudes with vertex operators involving gravitons and fermions are computed and are compared with Einstein-Yang-Mills amplitudes. Tree and one-loop scattering amplitudes are shown to have proper unitary factorization properties. Finally a string field theory is proposed.