Localization of matter fields and non-Abelian gauge fields on domain walls

TL;DR

This paper introduces a method to localize non-Abelian gauge and matter fields on domain walls within a specific gauge theory, leading to an effective low-energy model resembling chiral hadron physics, advancing brane-world model building.

Contribution

It presents a novel approach for simultaneous localization of gauge and matter fields on domain walls using field-dependent gauge coupling in a $U(N)_c$ gauge theory.

Findings

Localization achieved via field-dependent gauge coupling.

Effective Lagrangian resembles a chiral model with localized gauge fields.

Provides a foundation for realistic brane-world models with topological solitons.

Abstract

We propose a method for simultaneous localization of non-Abelian gauge fields and matter fields with minimal interaction on domain walls using $U(N)_c$ gauge theory with $SU(N)_{L}\times SU(N)_{R}\times U(1)_{A}$ flavor symmetry. Localization of non-Abelian fields is achieved using field-dependent gauge coupling. We find that effective Lagrangian up to second order of derivatives for low energy fluctuations resembles a chiral model from hadron physics with additional minimal interactions of pions with localized gauge fields together with nonlinear interactions of moduli fields. This result provides a step towards a realistic model building of brane-world scenario using topological solitons.