Quantum Corrections in String Compactifications on SU(3) Structure Geometries

TL;DR

This paper studies quantum corrections to the effective action in type II string theory compactified on SU(3) structure geometries, revealing universal correction forms similar to Calabi-Yau cases, dependent only on the Euler characteristic.

Contribution

It extends methods from Calabi-Yau compactifications to SU(3) structure geometries, identifying universal quantum correction patterns in the moduli space.

Findings

Quantum corrections depend only on the Euler characteristic.

Corrections are universal and analogous to Calabi-Yau cases.

Leading perturbative corrections are determined for both alpha' and string coupling.

Abstract

We investigate quantum corrections to the classical four-dimensional low-energy effective action of type II string theory compactified on SU(3) structure geometries. Various methods previously developed for Calabi-Yau compactifications are adopted to determine - under some simple assumptions about the low-energy degrees of freedom - the leading perturbative corrections to the moduli space metrics in both alpha' and the string coupling constant. We find - in complete analogy to the Calabi-Yau case - that the corrections take a universal form dependent only on the Euler characteristic of the six-dimensional compact space.