Type IIB Theory on Half-flat Manifolds

TL;DR

This paper derives the low-energy effective action of type IIB string theory on half-flat manifolds and shows its equivalence to type IIA on Calabi-Yau with NS fluxes, supporting mirror symmetry conjectures.

Contribution

It provides a detailed derivation confirming that half-flat manifolds serve as mirror partners of Calabi-Yau manifolds with fluxes in string theory.

Findings

Effective actions of type IIB on half-flat manifolds and type IIA on Calabi-Yau with fluxes are equivalent.

Supports the conjecture that half-flat manifolds are mirror partners with fluxes.

Validates the mirror symmetry framework in flux compactifications.

Abstract

In this note we derive the low-energy effective action of type IIB theory compactified on half-flat manifolds and we show that this precisely coincides with the low-energy effective action of type IIA theory compactified on a Calabi-Yau manifold in the presence of NS three-form fluxes. We provide in this way a further check of the recently formulated conjecture that half-flat manifolds appear as mirror partners of Calabi-Yau manifolds when NS fluxes are turned on.