Ambitwistor pure spinor string in a type II supergravity background

TL;DR

This paper develops a formulation of the ambitwistor pure spinor string in a general type II supergravity background, deriving supergravity constraints from BRST symmetry and exploring specific backgrounds like AdS5×S5.

Contribution

It introduces a new construction of the ambitwistor pure spinor string in type II supergravity backgrounds, deriving supergravity constraints from world-sheet symmetries.

Findings

Supergravity constraints obtained from BRST nilpotency.

Consistency conditions from world-sheet symmetries.

Discussion of the AdS5×S5 background case.

Abstract

We construct the ambitwistor pure spinor string in a general type II supergravity background in the semi-classical regime. Almost all supergravity constraints are obtained from nilpotency of the BRST charge and further consistency conditions from additional world-sheet symmetries. We also discuss the case of $AdS_5\times S^5$ background.