N=1 domain wall solutions of massive type II supergravity and the issue of mirror symmetry

TL;DR

This paper explores domain wall solutions in massive type II supergravity compactified on Calabi-Yau manifolds with fluxes, focusing on mirror symmetry and generalized geometries, including magnetic NSNS fluxes, and interprets flow equations as generalized Hitchin's flows.

Contribution

It introduces a new interpretation of domain wall solutions as generalized Hitchin's flow equations in SU(3)x SU(3) structure manifolds, advancing understanding of mirror symmetry in flux compactifications.

Findings

Domain wall solutions correspond to generalized Hitchin's flow equations.

Magnetic NSNS fluxes are incorporated into the analysis.

The work links supergravity solutions to generalized geometric structures.

Abstract

We report on Domain Wall solution of Calabi-Yau compactifications with general fluxes and their application to the study of mirror symmetry in generalized backgrounds. We address, in particular, to the issue of magnetic NSNS fluxes. We show that the Domain Wall gradient flow equations can be interpreted as a set of generalized Hitchin's flow equations of a manifold with SU(3)x SU(3) structure fibered along the direction transverse to the Domain wall.