Abstract
In this section we construct a novel 5D orbifold GUT with an E6 gauge symmetry. We take the 5D gauge field, given by (V, Σ), in the adjoint representation (78) of E6. In addition to this we add a matter hypermultiplet \((\mathbf{27} + \mathbf{\overline{27}})\).
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Notes
- 1.
In this breaking scheme, the brane at y = 0 has an SO(10) symmetry, whereas the brane at y = π R has an SU(6) × SU(2) R symmetry. The overlap is Pati–Salam. See Fig. 16.1.
Fig. 16.1 
5D E6 orbifold GUT model with bulk and brane states. The bulk gauge symmetry is broken to SO10 on the end of world brane at x 5 = 0 and to SU6 × SU2R at x 5 = π R. The massless sector of the 4D effective theory has a PS gauge symmetry. In addition, the bulk contains four hypermultiplets, and the SO10 brane contains two spinor representations, giving rise to the first two matter families. Reprinted from Nuclear Physics B 704, T. Kobayashi, S. Raby, R.-J. Zhang, “Searching for realistic 4d string models with a Pati–Salam symmetry. Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold,” Page 10, Copyright (2005), with permission from Elsevier
- 2.
This superpotential could, in principle, be localized on the SO(10) brane.
- 3.
In the latter case we would need to give mass to the extra states which are not in the MSSM.
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Raby, S. (2017). An E6 Orbifold GUT in 5D. In: Supersymmetric Grand Unified Theories. Lecture Notes in Physics, vol 939. Springer, Cham. https://doi.org/10.1007/978-3-319-55255-2_16
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DOI: https://doi.org/10.1007/978-3-319-55255-2_16
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