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Main Authors: Arai, Masato, Blaschke, Filip, Eto, Minoru, Kawaguchi, Masaki
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.22311
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author Arai, Masato
Blaschke, Filip
Eto, Minoru
Kawaguchi, Masaki
author_facet Arai, Masato
Blaschke, Filip
Eto, Minoru
Kawaguchi, Masaki
contents We construct an $SU(5)$ Grand Unified Theory on domain walls in the five-dimensional space-time. In this setup, we introduce an adjoint scalar field and a singlet that together form a set of five domain-wall solutions, realizing a dynamical brane-world. The same scalar fields also localize chiral fermion zero modes around the walls via the Jackiw-Rebbi mechanism, break $SU(5)$ down to the Standard Model gauge group via geometric Higgs mechanism and simultaneously trap gauge fields through a field-dependent gauge kinetic term. Furthermore, they enable localization of the Higgs field, providing a novel solution to the doublet-triplet splitting problem. As a result, all essential ingredients of the model are realized by a single adjoint scalar field and a singlet, making the construction very economical. We propose two realizations of the Higgs sector, derive the four-dimensional effective theory, and demonstrate that the Standard Model Yukawa couplings at the weak scale can be reproduced from the five-dimensional Yukawa couplings by the renormalization group analysis with a suitable choice of parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2604_22311
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Five benefits of grand unified $SU(5)$ brane world scenario
Arai, Masato
Blaschke, Filip
Eto, Minoru
Kawaguchi, Masaki
High Energy Physics - Theory
High Energy Physics - Phenomenology
We construct an $SU(5)$ Grand Unified Theory on domain walls in the five-dimensional space-time. In this setup, we introduce an adjoint scalar field and a singlet that together form a set of five domain-wall solutions, realizing a dynamical brane-world. The same scalar fields also localize chiral fermion zero modes around the walls via the Jackiw-Rebbi mechanism, break $SU(5)$ down to the Standard Model gauge group via geometric Higgs mechanism and simultaneously trap gauge fields through a field-dependent gauge kinetic term. Furthermore, they enable localization of the Higgs field, providing a novel solution to the doublet-triplet splitting problem. As a result, all essential ingredients of the model are realized by a single adjoint scalar field and a singlet, making the construction very economical. We propose two realizations of the Higgs sector, derive the four-dimensional effective theory, and demonstrate that the Standard Model Yukawa couplings at the weak scale can be reproduced from the five-dimensional Yukawa couplings by the renormalization group analysis with a suitable choice of parameters.
title Five benefits of grand unified $SU(5)$ brane world scenario
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2604.22311