Non-minimal fields of the pure spinor string in general curved backgrounds

TL;DR

This paper investigates how non-minimal ghost fields of the pure spinor superstring interact with general curved backgrounds, ensuring BRST charge nilpotency for consistent coupling.

Contribution

It introduces a method to couple non-minimal ghost fields in curved backgrounds by solving relations from BRST charge nilpotency.

Findings

Coupling of non-minimal ghost fields to curved backgrounds established.

Consistent relations derived from BRST nilpotency.

Framework for future studies of pure spinor superstrings in curved spaces.

Abstract

We study the coupling of the non-minimal ghost fields of the pure spinor superstring in general curved backgrounds. The coupling is found solving the consistent relations from the nilpotency of the non-minimal BRST charge.