SO(10) Grand Unification in M theory on a G2 manifold

TL;DR

This paper explores $SO(10)$ grand unification derived from M theory on G2 manifolds, proposing a novel solution to the doublet-triplet splitting problem with testable predictions at the LHC.

Contribution

It introduces a new approach to doublet-triplet splitting in $SO(10)$ GUTs from M theory, involving extra vector-like families and light color triplets.

Findings

Predicts accessible states at the LHC

Achieves gauge coupling unification with larger GUT coupling

Induces R-parity violation

Abstract

We consider Grand Unified Theories based on $SO(10)$ which originate from string/$M$ theory on $G_2$ manifolds or Calabi-Yau spaces with discrete symmetries. In this framework we are naturally led to a novel solution of the doublet-triplet splitting problem previously considered by Dvali which involves an extra vector-like Standard Model family and light, but weakly coupled colour triplets. These additional states are predicted to be accessible at the LHC and also induce R-parity violation. Gauge coupling unification occurs with a larger GUT coupling.