On-shell type II supergravity from the ambitwistor pure spinor string

TL;DR

This paper derives the complete set of type II supergravity constraints using the pure spinor ambitwistor string framework, ensuring the consistency of local gauge symmetries on the worldsheet.

Contribution

It provides a novel derivation of supergravity constraints directly from the ambitwistor pure spinor string, linking worldsheet symmetries to spacetime supergravity.

Findings

All type II supergravity constraints are obtained.

Consistency of local worldsheet gauge symmetries enforces the constraints.

Framework connects ambitwistor strings with supergravity theories.

Abstract

We obtain all the type II supergravity constraints in the pure spinor ambitwistor string by imposing consistency of local worldsheet gauge symmetries.