BRST Anomaly and Superspace Constraints of the Pure Spinor Heterotic String in a Curved Background

TL;DR

This paper investigates the BRST anomaly in the pure spinor heterotic string within curved backgrounds, demonstrating how it can be canceled through specific corrections aligning with established superstring mechanisms.

Contribution

It identifies the one-loop BRST anomaly and shows it can be absorbed by correcting classical constraints, confirming consistency with the Green-Schwarz mechanism.

Findings

BRST anomaly at one-loop level determined

Anomaly absorption via classical constraint corrections

Consistency with Green-Schwarz cancellation mechanism

Abstract

The pure spinor heterotic string in a generic super Yang-Mills and supergravity background is considered. We determine the one-loop BRST anomaly at the cohomological level. We prove that it can be absorbed by consistent corrections of the classical constraints due to Berkovits and Howe, in agreement with the Green-Schwarz cancelation mechanism.