A Twistor Formulation of the Non-Heterotic Superstring with Manifest Worldsheet Supersymmetry

TL;DR

This paper introduces a novel twistor-based formulation of the D=3 type II superstring that maintains manifest target-space and worldsheet supersymmetry, simplifying constraints through twistor variables.

Contribution

It presents a new twistor formulation of the superstring that explicitly preserves target-space and worldsheet supersymmetries, offering a solution to Virasoro constraints.

Findings

Provides a twistor variable framework for the superstring

Achieves manifest target-space and worldsheet supersymmetry

Simplifies Virasoro constraints using twistor variables

Abstract

We propose a new formulation of the $D=3$ type II superstring which is manifestly invariant under both target-space $N=2$ supersymmetry and worldsheet $N=(1,1)$ super reparametrizations. This gives rise to a set of twistor (commuting spinor) variables, which provide a solution to the two Virasoro constraints. The worldsheet supergravity fields are shown to play the r\^ole of auxiliary fields.