Fermion masses and quantum numbers from extra dimensions

TL;DR

This paper explores how fermion masses and quantum numbers can emerge from their localization in extra-dimensional spaces with specific geometries, linking quantum numbers to rotation in extra dimensions.

Contribution

It introduces a model where fermion quantum numbers are tied to their rotation in extra dimensions, affecting their localization profiles and resulting in mass and mixing patterns.

Findings

Fermion quantum numbers correspond to rotation momenta in extra dimensions.

Fermion masses depend on the overlap of their higher-dimensional profiles.

Different quantum numbers lead to distinct localization profiles and mass hierarchies.

Abstract

We study the localization of fermions on a brane embedded in a space-time with $AdS_n \times M^k$ geometry. Quantum numbers of localized fermions are associated with their rotation momenta around the brane. Fermions with different quantum numbers have different higher-dimensional profiles. Fermion masses and mixings, which are proportional to the overlap of higher-dimensional profiles of the fermions, depend on the fermion quantum numbers.