BPS Domain Wall Junctions in Infinitely Large Extra Dimensions

TL;DR

This paper explores higher-dimensional scalar field models coupled with gravity to construct domain wall junctions in anti-de Sitter space, deriving Bogomolnyi equations and demonstrating gravity localization in multiple extra dimensions.

Contribution

It introduces a framework for modeling domain wall junctions in higher dimensions with gravity, deriving Bogomolnyi equations and a BPS-like energy formula, and shows gravity localization in such configurations.

Findings

Derivation of Bogomolnyi equations for scalar fields and metric

Development of a BPS-like formula for junction energy

Demonstration of gravity localization in models with multiple extra dimensions

Abstract

We consider models of scalar fields coupled to gravity which are higher-dimensional generalizations of four dimensional supergravity. We use these models to describe domain wall junctions in an anti-de Sitter background. We derive Bogomolnyi equations for the scalar fields from which the walls are constructed and for the metric. From these equations a BPS-like formula for the junction energy can be derived. We demonstrate that such junctions localize gravity in the presence of more than one uncompactified extra dimension.