The non-minimal type II pure spinor string in a curved background

TL;DR

This paper develops a formalism for the pure spinor superstring in curved backgrounds, incorporating non-minimal variables and simplifying the construction of reparametrization ghosts through BRST symmetry analysis.

Contribution

It introduces a non-minimal pure spinor formalism in curved backgrounds and derives BRST transformations that resemble flat spacetime, aiding ghost construction.

Findings

BRST transformations of non-minimal variables are obtained.

Transformations resemble flat spacetime up to Lorentz rotation.

Simplifies the construction of reparametrization $b$ ghosts.

Abstract

The pure spinor superstring in a type II curved background is considered. In order to define reparametrization ghosts, non-minimal pure spinor variables have to be present in the formalism. The BRST transformations of the non-minimal variables are obtained. It is found that the BRST transformations of a set of world-sheet variables have the form of the corresponding transformations in flat spacetime, up to a field-dependent Lorentz rotation. This simplify the construction of the reparametrization $b$ ghosts.