A Note on the Classical BRST Symmetry of the Pure Spinor String in a Curved Background

TL;DR

This paper analyzes the classical BRST symmetry of the pure spinor heterotic superstring in curved backgrounds, deriving consistent BRST transformations aligned with supergravity constraints.

Contribution

It provides explicit BRST transformations for the pure spinor heterotic string in curved backgrounds, ensuring consistency with supergravity and super Yang-Mills constraints.

Findings

BRST transformations derived for world-sheet fields

Consistency with nilpotence of BRST charge confirmed

Holomorphicity of BRST current established

Abstract

The classical pure spinor version of the heterotic superstring in a supergravity and super Yang-Mills background is considered. We obtain the BRST transformations of the world-sheet fields. They are consistent with the constraints obtained from the nilpotence of the BSRT charge and the holomorphicity of the BRST current.