Stabilizing matter and gauge fields localized on walls

TL;DR

This paper presents a novel mechanism for localizing non-Abelian gauge and matter fields on a domain wall in five-dimensional spacetime, ensuring stability and positive coupling throughout the moduli space.

Contribution

It introduces a field-dependent gauge coupling approach with an economical field content to stabilize and localize gauge and matter fields on a domain wall.

Findings

Position-dependent gauge coupling is positive across the entire moduli space.

Effective Lagrangian with different coupling strengths for adjoint and singlet matter.

Elimination of moduli leads to a stable configuration.

Abstract

Both non-Abelian gauge fields and minimally interacting massless matter fields are localized on a domain wall in the five-dimensional spacetime. Field-dependent gauge coupling naturally gives a position-dependent coupling to localize non-Abelian gauge fields on the domain wall. An economical field content allows us to eliminate a moduli for a instability, and to demonstrate the positivity of the position-dependent coupling in the entire moduli space. Effective Lagrangian similar to the chiral Lagrangian is found with a new feature of different coupling strengths for adjoint and singlet matter that depend on the width of the domain wall.