Deconstruction of Gauge Symmetry Breaking by Discrete Symmetry and $G^N$ Unification

TL;DR

This paper explores gauge symmetry breaking via discrete symmetries in deconstructed models on specific space-time manifolds, proposing a new unification scenario with realistic symmetry breaking and Higgs sector features.

Contribution

It introduces a novel deconstruction approach for gauge symmetry breaking using discrete symmetries and proposes a $G^N$ unification model with realistic symmetry breaking and doublet-triplet splitting.

Findings

Exact matching of continuum and latticized results on quotient spaces.

Effective deconstruction scenario for gauge symmetry breaking.

A $G^N$ unification model with realistic symmetry breaking and Higgs sector.

Abstract

We deconstruct the non-supersymmetric SU(5) breaking by discrete symmetry on the space-time $M^4\times S^1$ and $M^4\times S^1/(Z_2\times Z_2')$ in the Higgs mechanism deconstruction scenario. And we explain the subtle point on how to exactly match the continuum results with the latticized results on the quotient space $S^1/Z_2$ and $S^1/(Z_2\times Z_2')$. We also propose an effective deconstruction scenario and discuss the gauge symmetry breaking by the discrete symmetry on theory space in this approach. As an application, we suggest the $G^N$ unification where $G^N$ is broken down to $SU(3)\times SU(2)\times U(1)^{n-3}$ by the bifundamental link fields and the doublet-triplet splitting can be achieved.