On some new warped brane world solutions in higher dimensions

TL;DR

This paper introduces new higher-dimensional solutions to Einstein's equations with a cosmological constant, demonstrating gravity localization on branes with complex transverse geometries, which is relevant for chiral fermion localization.

Contribution

It provides novel warped brane world solutions in higher dimensions with non-trivial transverse spaces and gauge fields, advancing the understanding of gravity and fermion localization.

Findings

Gravity is localized on branes with Ricci-flat or homogeneous transverse spaces.

Solutions include topologically non-trivial gauge field configurations.

Relevance for chiral fermion localization on branes.

Abstract

We present new solutions of higher dimensional Einstein's equations with a cosmological constant that localize gravity on branes which are transverse to Ricci-flat manifolds or to homogeneous spaces with topologically non-trivial solutions of gauge field equations. These solutions are relevant for the localization of chiral fermions on a brane.