Conformal Invariance of the Pure Spinor Superstring in a Curved Background

TL;DR

This paper demonstrates that the pure spinor formulation of the heterotic superstring remains conformally invariant at one loop in a general curved background with gravity and super Yang-Mills fields.

Contribution

It proves the conformal invariance of the pure spinor heterotic superstring in arbitrary curved backgrounds at one loop, extending previous flat-space results.

Findings

Vanishing one-loop beta functions in curved backgrounds

Conformal invariance preserved at quantum level

Applicability to generic gravitational and super Yang-Mills backgrounds

Abstract

It is shown that the pure spinor formulation of the heterotic superstring in a generic gravitational and super Yang-Mills background has vanishing one-loop beta functions.