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

  title={\$SO(10)\$ Grand Unification from \$M\$ theory on a \$G\_2\$ manifold},
  author={M. Crispim Rom{\~a}o},
  journal={arXiv: High Energy Physics - Phenomenology},
  • M. Romão
  • Published 20 February 2015
  • Physics
  • arXiv: High Energy Physics - Phenomenology
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… 

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