On Codimension-one Vacua and String Theory

TL;DR

This paper explores codimension-one vacua in string-inspired effective actions, analyzing their consistency with localized sources, and discusses solutions and models related to brane supersymmetry breaking and non-supersymmetric configurations.

Contribution

It provides a detailed investigation of codimension-one vacua with localized sources, inspired by string models like Sugimoto's USp(32) and 0'B, and introduces methods to simplify computations in these contexts.

Findings

Analysis of singularities at internal interval endpoints.

Discussion of sources in deformed D8-like solutions.

Frame choices that simplify models with tadpole potentials.

Abstract

We investigate codimension-one vacua arising from low energy effective actions inspired by string theory, with an eye to their consistency when localized sources are allowed in the equations of motion. We draw some inspiration from Sugimoto's USp(32) model, the simplest setting for brane supersymmetry breaking, and from the 0'B model, with their Dudas-Mourad solutions. Although the sources that one can thus identify do not have a clear role in string theory, this type of investigation is naturally suggested by the singularities that appear at the endpoints of internal intervals. We also discuss the introduction of sources in deformed D8-like solutions in type IIA, pointing out an analogy with one of the non-supersymmetric models. Finally, we show that an appropriate choice of frame can simplify computations in models with tadpole potentials.