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arXiv · 1502.05929

$SO(10)$ Grand Unification from $M$ theory on a $G_2$ manifold

Miguel Crispim Romão
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Abstract

We consider Grand Unified Theories based on $SO(10)$ which originate from $M$ theory on $G_2$ manifolds. In this framework we are naturally led to a novel solution of the doublet-triplet splitting problem involving an extra $\overline{{\bf 16}}_X+{\bf 16}_X$ vector-like pair by considering discrete symmetries of the extra dimensions and preserving unification. Since Wilson line breaking preserves the rank of the gauge group, the necessary $U(1)$ gauge breaking is generated from extra multiplets. The main prediction of the approach is the existence of light states with the quantum numbers of a $\overline{{\bf 16}}_X+{\bf 16}_X$ vector-like pair which could show up in future LHC searches.

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Miguel Crispim Romão. 2015-02-20. $SO(10)$ Grand Unification from $M$ theory on a $G_2$ manifold. https://doi.org/10.1088/1742-6596/631/1/012085

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