Fermion localization on a split brane

TL;DR

This paper investigates how fermions can be localized on a brane in five-dimensional space-time, examining the effects of brane splitting and scalar field interactions in both warped and non-warped geometries.

Contribution

It introduces a nonlinear scalar field model that allows a single brane to split into two, analyzing fermion localization in these split brane scenarios across different geometries.

Findings

Fermion wavefunctions depend on scalar coupling and space-time geometry.

The model demonstrates continuous deformation from single to double branes.

Localization properties vary with brane splitting and scalar interactions.

Abstract

In this work we analyze the localization of fermions on a brane embedded in five-dimensional, warped and non-warped, space-time. In both cases we use the same nonlinear theoretical model with a non-polynomial potential featuring a self-interacting scalar field whose minimum energy solution is a soliton (a kink) which can be continuously deformed into a two-kink. Thus a single brane splits into two branes. The behavior of spin 1/2 fermions wavefunctions on the split brane depends on the coupling of fermions to the scalar field and on the geometry of the space-time.