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Completion of standard-like embeddings

Joel Giedt

TL;DR

Inequivalent standard-like observable sector embeddings in Z 3 orbifolds with two discrete Wilson lines, as determined by Casas, Mondragon, and Munoz, are completed by examining all possible ways of embedding the hidden sector.

Abstract

Inequivalent standard-like observable sector embeddings in $Z_3$ orbifolds with two discrete Wilson lines, as determined by Casas, Mondragon and Muñoz, 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.

Completion of standard-like embeddings

TL;DR

Inequivalent standard-like observable sector embeddings in Z 3 orbifolds with two discrete Wilson lines, as determined by Casas, Mondragon, and Munoz, are completed by examining all possible ways of embedding the hidden sector.

Abstract

Inequivalent standard-like observable sector embeddings in orbifolds with two discrete Wilson lines, as determined by Casas, Mondragon and Muñoz, 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.

Paper Structure

This paper contains 1 theorem, 51 equations, 2 tables.

Key Result

Theorem 1

If ${\cal W}_I \in {{\bf W}}$ and $T_\ell \in {{\bf T}}$, then there exists a $T_k \in {{\bf T}}$ such that ${\cal W}_I T_\ell = T_k {\cal W}_I$.

Theorems & Definitions (3)

  • Theorem 1
  • Definition 1
  • Definition 2