Gauge Symmmetry and Supersymmetry Breaking by Discrete Symmetry

TL;DR

This paper explores how discrete symmetries in extra-dimensional spaces can break gauge and supersymmetries, unifying different mechanisms and applying to models like SO(10) and E8 in specific geometries.

Contribution

It demonstrates that gauge symmetry breaking via Wilson lines is a special case of discrete symmetry breaking and extends the analysis to various N=2 supersymmetric models on specific manifolds.

Findings

Gauge symmetry breaking by Wilson lines is a special case of discrete symmetry breaking.

Application to N=2 supersymmetric SO(10) and E8 models on specific manifolds.

Discussion on one-loop effective potential and possible generalizations.

Abstract

We study the principles of the gauge symmetry and supersymmetry breaking due to the local or global discrete symmetries on the extra space manifold. We show that the gauge symmetry breaking by Wilson line is the special case of the discrete symmetry approach where all the discrete symmetries are global and act freely on the extra space manifold. As applications, we discuss the N=2 supersymmetric SO(10) and $E_8$ breaking on the space-time $M^4\times A^2$ and $M^4\times D^2$, and point out that similarly one can study any N=2 supersymmetric $SO(M)$ breaking. We also comment on the one-loop effective potential, the possible questions and generalization.