String loop corrected hypermultiplet moduli spaces

TL;DR

This paper determines the one-loop string corrections to hypermultiplet moduli spaces in type II string compactifications on Calabi-Yau threefolds, showing that higher loop corrections are absent due to a non-renormalization theorem.

Contribution

It provides a complete characterization of the one-loop corrected quaternion-Kahler moduli spaces using supersymmetry constraints and superspace techniques, establishing a non-renormalization result.

Findings

One-loop correction is explicitly determined.

Higher loop corrections are excluded by a non-renormalization theorem.

The moduli space is encoded in a single function.

Abstract

Using constraints from supersymmetry and string perturbation theory, we determine the string loop corrections to the hypermultiplet moduli space of type II strings compactified on a generic Calabi-Yau threefold. The corresponding quaternion-Kahler manifolds are completely encoded in terms of a single function. The latter receives a one-loop correction and, using superspace techniques, we argue for the existence of a non-renormalization theorem excluding higher loop contributions.