Chiral fermions in a spacetime with multiple warping

TL;DR

This paper explores a six-dimensional brane world model with multiple warping, demonstrating how chiral fermions can naturally localize on a brane, providing insights into fermion chirality and mass generation in higher-dimensional theories.

Contribution

It introduces a model with coordinate-dependent brane tensions in a multi-warped setup, showing how chiral fermions can localize on a brane, which is a novel mechanism for fermion chirality in extra dimensions.

Findings

Massless left chiral fermion localizes on the brane.

Right chiral and massive fermions peak away from the brane.

Provides a mechanism for chiral fermion localization in higher dimensions.

Abstract

In a six dimensional brane world model with multiple $S_1/Z_2$ warping, two of the 4-branes at the boundaries have coordinate dependent brane tensions in order to implement the orbifolded boundary conditions consistently. Such brane tension is shown to be equivalent to a scalar field distribution on the brane [1]. We show that in such a scenario a masslesss left chiral fermion on the 4-brane localizes naturally on the standard model 3-brane located at one edge of the compact manifold while the massless right chiral fermion wave function as well as the wave functions for the massive fermion modes peak away from this brane. This offers a mechanism of obtaining massless chiral fermion with only one of its chiral component present in our brane.