Matter Fields and Non-Abelian Gauge Fields Localized on Walls

TL;DR

This paper constructs a (3+1)-dimensional effective field theory with localized matter and non-Abelian gauge fields on domain walls in a (4+1)-dimensional gauge theory, advancing brane-world model building.

Contribution

It introduces a novel setup for localizing non-Abelian gauge fields and matter on domain walls, including a scalar-dependent gauge coupling, and derives the effective chiral Lagrangian.

Findings

Massless matter and gauge fields are localized on domain walls.

A (3+1)-dimensional chiral Lagrangian with gauge interactions is derived.

The model advances the prospects for realistic brane-world scenarios.

Abstract

Massless matter fields and non-Abelian gauge fields are localized on domain walls in a (4+1)-dimensional $U(N)_c$ gauge theory with $SU(N)_{L}\times SU(N)_{R}\times U(1)_{A}$ flavor symmetry. We also introduce $SU(N)_{L+R}$ flavor gauge fields and a scalar-field-dependent gauge coupling, which provides massless non-Abelian gauge fields localized on the wall. We find a chiral Lagrangian interacting minimally with the non-Abelian gauge field together with nonlinear interactions of moduli fields as the (3+1)-dimensional effective field theory up to the second order of derivatives. Our result provides a step towards a realistic model building of brane-world scenario using topological solitons.