Towards a Complete Twistorization of the Heterotic String

TL;DR

This paper develops a twistor-based formulation of the heterotic string that maintains supersymmetry and solves Virasoro constraints, offering a unified approach across multiple space-time dimensions.

Contribution

It introduces a complete twistorization of the heterotic string, extending twistor methods to include heterotic fermions and various space-time dimensions.

Findings

Twistor solutions are preserved with heterotic fermions.

The model is invariant under supersymmetry and local worldsheet symmetries.

Virasoro constraints are solved explicitly in twistor form.

Abstract

In $D=3,4,6$ and 10 space--time dimensions considered is a string model invariant under transformations of $N=1$ space--time supersymmetry and $n=D-2$ local worldsheet supersymmetry with the both Virasoro constraints solved in the twistor form. The twistor solution survives in a modified form even in the presence of the heterotic fermions.