N=1 Conformal Supergravity and Twistor-String Theory

TL;DR

This paper explores alternative twistor-string theories related to N=1 conformal supergravity, extending previous work on N=4 theories by analyzing models based on weighted projective space and open strings.

Contribution

It introduces two new versions of twistor-string theory that describe N=1 conformal supergravity, expanding the theoretical framework beyond existing N=4 models.

Findings

New twistor-string models for N=1 conformal supergravity

Connection between twistor superfields and physical states of N=1 supergravity

Extension of twistor-string theory to weighted projective spaces

Abstract

The physical states of N=4 conformal supergravity in four dimensions occur in twistor-string theory by Berkovits and Witten(hep-th/0406051). We study two alternative versions of twistor-string theory based on the B-model of weighted projective space WCP^{3|2} and based on a certain construction involving open strings. The spacetime fields described by the twistor superfields contain the physical states of N=1 conformal supergravity from above N=4 superspace approach.