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Five benefits of grand unified SU(5) brane world scenario

Masato Arai1,*, Filip Blaschke2,3,†, Minoru Eto1,4,5,‡, and Masaki Kawaguchi§

  • 1Faculty of Science, Yamagata University, Kojirakawa-machi 1-4-12, Yamagata, Yamagata 990-8560, Japan
  • 2Research Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo nám. 1150/13, 746 01 Opava, Czech Republic
  • 3Institute of Experimental and Applied Physics, Czech Technical University in Prague, Husova 240/5, 110 00 Prague 1, Czech Republic
  • 4Department of Physics, and Research and Education Center for Natural Sciences, Keio University, 4-1-1 Hiyoshi, Yokohama, Kanagawa 223-8521, Japan
  • 5International Institute for Sustainability with Knotted Chiral Meta Matter (WPI-SKCM2), Hiroshima University, 1-3-2 Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8511, Japan

  • *Contact author: arai(at)sci.kj.yamagata-u.ac.jp
  • †Contact author: filip.blaschke(at)physics.slu.cz
  • ‡Contact author: meto(at)sci.kj.yamagata-u.ac.jp
  • §Contact author: ddwbb.daigaku@gmail.com
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Phys. Rev. D 114, 035028 – Published 21 August, 2026

DOI: https://doi.org/10.1103/q7kr-cyqz

Abstract

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.

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Phys. Rev. D 114, 035028– Published 21 August, 2026
  • Received 2 May 2026
  • Accepted 4 August 2026
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