Ambitwistor pure spinor string in a type II supergravity background

Understand

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.