Localizing fields on brane in magnetized backgound

TL;DR

This paper proposes a straightforward mechanism using a magnetic field in a six-dimensional flat space to localize scalar, fermion, and gauge fields on a 3-brane, treating all fields equally without ad hoc assumptions.

Contribution

It introduces a simple, universal localization mechanism in flat six-dimensional space that works even at weak coupling, avoiding special treatment of different fields.

Findings

Effective localization of various fields on the brane

Works in flat six-dimensional Minkowski space

Operates in the weak coupling limit

Abstract

To localize the scalar, fermion, and abelian gauge fields on our 3-brane, a simple mechanism with a hypothetical "magnetic field" in the bulk is proposed. This mechanism is to treat all fields in the equal footing without ad hoc consideration. In addition, the machanism can be easily realized in a flat dimension six Minkowski space and it works even in the weak coupling limit.