The physics of intersecting thick to thin branes

TL;DR

This paper investigates the physics of intersecting thick and thin branes in higher-dimensional spacetimes, focusing on fermion localization, junction stability, and the influence of Yukawa coupling and proton decay.

Contribution

It introduces a new approach to modeling four-dimensional brane junctions using domain walls and analyzes fermion localization at intersections of thick and thin branes.

Findings

Fermion states can be localized at brane junctions due to intersection geometry.

Parameter restrictions for junction stability depend on brane thickness and Yukawa coupling.

Proton decay considerations influence the allowed parameter space for brane configurations.

Abstract

We model four-dimensional junctions made out of intersections of co-dimension one brane living in higher-dimensional spacetimes through domain walls. We take a new look at the problem of localizing fermion states on brane junctions as a result of intersecting one thick brane to others sufficiently thin. All the branes intersect orthogonally to form a four-dimensional junction embedded in a higher-dimensional bulk. We discuss the effects of the Yukawa coupling and the proton decay on the restriction of the parameters that control the junction stability and the brane thickness which also define the bulk cosmological constant.