N=1 domain wall solutions of massive type II supergravity as generalized geometries

TL;DR

This paper investigates N=1 domain wall solutions in type IIB supergravity with fluxes, revealing their dynamics via gradient flow equations linked to generalized geometries and mirror symmetry.

Contribution

It introduces a geometric interpretation of domain wall solutions as generalized Hitchin flow equations on manifolds with SU(3)xSU(3)structure.

Findings

Gradient flow equations governed by superpotential W.

Geometrical interpretation via mirror symmetric compactification.

Connection to generalized Hitchin flow equations.

Abstract

We study N=1 domain wall solutions of type IIB supergravity compactified on a Calabi-Yau manifold in the presence of RR and NS electric and magnetic fluxes. We show that the dynamics of the scalar fields along the direction transverse to the domain wall is described by gradient flow equations controlled by a superpotential W. We then provide a geometrical interpretation of the gradient flow equations in terms of the mirror symmetric compactification of type IIA. They correspond to a set of generalized Hitchin flow equations of a manifold with SU(3)xSU(3)structure which is fibered over the direction transverse to the domain wall.