Completion of standard-like embeddings

TL;DR

This paper completes the classification of standard-like embeddings in $Z_3$ orbifolds with two Wilson lines, identifying 175 models with hidden sectors suitable for supersymmetry breaking, and revealing only four possible hidden gauge groups.

Contribution

It systematically explores all hidden sector embeddings in $Z_3$ orbifolds, extending previous work and identifying models relevant for supersymmetry breaking scenarios.

Findings

Identified 175 viable models with hidden sectors for supersymmetry breaking.

Found only four distinct hidden sector gauge groups among these models.

Provided a comprehensive classification of hidden sector embeddings.

Abstract

Inequivalent standard-like observable sector embeddings in $Z_3$ orbifolds with two discrete Wilson lines, as determined by Casas, Mondragon and Mu\~noz, are completed by examining all possible ways of embedding the hidden sector. The hidden sector embeddings are relevant to twisted matter in nontrivial representations of the Standard Model and to scenarios where supersymmetry breaking is generated in a hidden sector. We find a set of 175 models which have a hidden sector gauge group which is viable for dynamical supersymmetry breaking. Only four different hidden sector gauge groups are possible in these models.