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Towards a complete $\Delta(27) \times SO(10)$ SUSY GUT · Around

2015

Towards a complete $\Delta(27) \times SO(10)$ SUSY GUT

Björkeroth, Fredrik, de Anda, Francisco J., Varzielas, Ivo de Medeiros et al.

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We propose a renormalisable model based on $\Delta(27)$ family symmetry with an $SO(10)$ grand unified theory (GUT) leading to a novel form of spontaneous geometrical CP violation.

The symmetries, including $\Delta(27)$ and $\mathbb{Z}_{9} \times \mathbb{Z}_{12} \times \mathbb{Z}_{4}^{R}$, are broken close to the GUT breaking scale to yield the minimal supersymmetric standard model (MSSM) with the standard R-parity.
$SO(10)$ is broken via $SU(5)$ with doublet-triplet splitting achieved by a version of the Dimopoulos-Wilczek (missing VEV) mechanism.
Low-scale Yukawa structure is dictated by the coupling of matter to $ \Delta(27) $ antitriplets $ \bar{\phi} $ whose VEVs are aligned in the CSD3 directions by the superpotential.

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