Yang-Mills Chern-Simons Corrections From the Pure Spinor Superstring

TL;DR

This paper derives Yang-Mills Chern-Simons corrections to superstring backgrounds by computing one-loop corrections to the pure spinor BRST operator's nilpotency in a heterotic sigma model.

Contribution

It introduces a method to compute Chern-Simons corrections from pure spinor superstring theory using one-loop nilpotency calculations.

Findings

Yang-Mills Chern-Simons corrections are explicitly derived.

The approach links BRST nilpotency to background equations of motion.

Provides a framework for analyzing superstring corrections in curved backgrounds.

Abstract

Nilpotency of the pure spinor BRST operator in a curved background implies superspace equations of motion for the background. By computing one-loop corrections to nilpotency for the heterotic sigma model, the Yang-Mills Chern-Simons corrections to the background are derived.