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.
Highlights
(or a modulus) in the low-energy effective action
We investigate quantum corrections to the classical four-dimensional lowenergy effective action of type II string theory compactified on SU(3) structure geometries
We have constrained the leading perturbative α and gs corrections to the moduli space metric arising in compactifications of type II theories on six-dimensional SU(3) structure manifolds X6, subject to some simple assumptions about the low-energy modes
Summary
One finds that the scalar fields in vector- and hypermultiplets arise from h(1,1) deformations of the complexified Kahler form J + iB and from h(1,2) deformations of the complex structure, or equivalently deformations of the holomorphic 3-form Ω Since these moduli can be varied independently, their moduli space is locally a product. The moduli space manifestly includes the volume modulus V since this is a rescaling of the real parts of ti, here we in addition assume that the moduli are light compared with other Kaluza-Klein modes in the large-volume region This set-up can be viewed as the SU(3) structure analogue of a Calabi-Yau compactification with flux. In both cases the special quaternionic manifold Mh includes the dilaton and axion
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