Are there minimal exceptional aGUTs from stable 5D orbifolds?

Giacomo Cacciapaglia; Alan S. Cornell; Aldo Deandrea; Wanda Isnard; Roman Pasechnik; Anca Preda; Zhi-Wei Wang

doi:10.1140/epjc/s10052-025-14215-9

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 496
https://doi.org/10.1140/epjc/s10052-025-14215-9

Regular Article - Theoretical Physics

Are there minimal exceptional aGUTs from stable 5D orbifolds?

Giacomo Cacciapaglia¹^,2, Alan S. Cornell³, Aldo Deandrea³^,4, Wanda Isnard⁴^a, Roman Pasechnik⁵, Anca Preda⁵ and Zhi-Wei Wang⁶

¹ Laboratoire de Physique Théorique et Hautes Énergies (LPTHE), UMR 7589, Sorbonne Université and CNRS, 4 place Jussieu, 75252, Paris Cedex 05, France
² Quantum Theory Center (QTC) and D-IAS, Southern Denmark Univ., Campusvej 55, 5230, Odense M, Denmark
³ Department of Physics, University of Johannesburg, PO Box 524, 2006, Auckland Park, South Africa
⁴ Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I UMR 5822, 4 rue Enrico Fermi, 69100, Villeurbanne, France
⁵ Department of Physics, Lund University, 223 62, Lund, Sweden
⁶ School of Physics, The University of Electronic Science and Technology of China, No. 2006, Xiyuan Avenue, West Hi-Tech Zone, Chengdu, China

^a wanda.isnard@ens-lyon.fr

Received: 5 February 2025
Accepted: 21 April 2025
Published online: 6 May 2025

Abstract

In analysing five dimensional orbifolds with exceptional gauge groups, we seek to find stable vacua configurations which satisfy the minimal requirements for asymptotic grand unified models. In this respect we show that no minimal asymptotic grand unified theory can be built. Our results point towards non-minimal models based on $E_{6}$ $$E_6$$ : one featuring supersymmetry, and the other needing a modification of the Coleman–Weinberg potential to stabilise the breaking of $E_{6}$ $$E_6$$ to the standard model gauge group.

© The Author(s) 2025

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