Ambitwistor string vertex operators on curved backgrounds

TL;DR

This paper constructs exact vertex operators for ambitwistor strings in various curved backgrounds, ensuring they satisfy linear equations of motion via BRST cohomology without approximations.

Contribution

It introduces a method to derive exact vertex operators for ambitwistor strings in curved backgrounds, extending previous flat-space formulations.

Findings

Vertex operators satisfy linear equations of motion in curved backgrounds.

BRST cohomology enforces gauge fixing and equations of motion.

Calculations are exact, with no approximations.

Abstract

We present vertex operators for ambitwistor strings around generic Yang-Mills, gravity and NS-NS backgrounds. The requirement that vertex operators lie in the BRST cohomology of the worldsheet theory enforces the appropriate linear equations of motion (as well as gauge fixing conditions) for the respective perturbations in these backgrounds. Due to the nature of ambitwistor strings, no approximation is taken and all calculations around the backgrounds are exact.