Millions of Standard Models on Z6-prime?

TL;DR

This paper analyzes intersecting D6-brane models on T^6/Z_6' to identify solutions resembling the supersymmetric standard model, focusing on gauge groups, matter content, and exotic states, revealing correlations among key features.

Contribution

It provides a comprehensive classification of standard model-like solutions on T^6/Z_6' with detailed analysis of hidden sectors, gauge couplings, and exotic matter, including explicit examples.

Findings

Number of chiral exotics correlates with Higgs count and gauge couplings

Identifies solutions with the MSSM spectrum plus vector-like states

Finds models with a massless U(1) B-L symmetry

Abstract

Using previous results on the statistics of intersecting D6-brane models on T^6/Z_6' we analyse solutions that resemble the gauge group and matter content of the supersymmetric standard model. In particular the structure of the hidden sector, the gauge coupling constants and chiral exotic matter content are computed and classified for all possible standard model-like configurations on this background. It turns out that the number of chiral exotics, Higgses and values of gauge couplings are strongly correlated. Some examples with the chiral spectrum of the supersymmetric standard model plus vector-like states and a massless U(1) B-L are discussed in detail.