Domain walls inside localised orientifolds

TL;DR

This paper investigates the relationship between gauged supergravity and 10D supergravity solutions with localized sources in flux compactifications, focusing on BPS domain walls in a specific orientifold model.

Contribution

It establishes a correspondence between BPS domain walls in gauged supergravity and those in 10D supergravity with localized sources, demonstrating energy invariance under localization.

Findings

Gauged supergravity accurately captures domain wall energies despite source localization.

The model used is an O6/D6 compactification on T^3/Z_2 in massive IIA with H_3-flux.

Localization does not affect the computed domain wall energy.

Abstract

The equations of motion of toroidal orientifold compactifications with fluxes are in one-to-one correspondence with gauged supergravity if the orientifold (and D-brane) sources are smeared over the compact space. This smeared limit is identical to the approximation that ignores warping. It is therefore relevant to compare quantities obtained from the gauged supergravity with the true 10d solution with localised sources. In this paper we find the correspondence between BPS domain walls in gauged SUGRA and 10D SUGRA with localised sources. Our model is the simplest orientifold with fluxes we are aware of: an O6/D6 compactification on T^3/Z_2 in massive IIA with H_3-flux. The BPS domain walls correspond to a O6/D6/NS5/D8 bound state. Our analysis reveals that the domain wall energy computed in gauged SUGRA is unaffected by the localisation of the O6/D6 sources.