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 the case of AdS5 × S 5 background.
Highlights
Almost all supergravity constraints are obtained from nilpotency of the BRST charge and further consistency conditions from additional world-sheet the case of AdS5 × S5 background
JHEP06(2015)206 the masshell condition PaP a = 0 which follows from BRST in [10] needs to be generalized to include background fields that vanish in the flat space limit
We show that the BRST invariance of (3.20) implies the nilpotency constraints of [12] involving H = dB
Summary
The world-sheet fields (Pm, λα, λα) are BRST invariant and the remaining fields transform as. The action will contain a term (2.8) with a supergravity B-field. We will prove that the action (2.1) has a new symmetry which involves the B field on a flat space. The symmetry generated by (2.10) is BRST invariant. Which determines that the only world-sheet field that varies is Xm and transforms as δXm = −ǫP m, where ǫ is a conformal weight −1 parameter, and the action is invariant. We have a nilpotent BRST charge, and BRST invariant symmetries generated by K and H. We generalize this to a curved supergravity background
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