Towards machine learning in the classification of Z 2 × Z 2 orbifold compactifications

A E Faraggi,G Harries,B Percival,J Rizos

doi:10.1088/1742-6596/1586/1/012032

A E Faraggi, G Harries + Show 2 more

Open Access

https://doi.org/10.1088/1742-6596/1586/1/012032

Copy DOI

Abstract

Systematic classification of Z 2 × Z 2 orbifold compactifications of the heterotic-string was pursued by using its free fermion formulation. The method entails random generation of string vacua and analysis of their entire spectra, and led to discovery of spinor-vector duality and three generation exophobic string vacua. The classification was performed for string vacua with unbroken SO(10) GUT symmetry, and progressively extended to models in which the SO(10) symmetry is broken to the SO(6) × SO(4), SU(5) × U(1), SU(3) × SU(2) × U(1)2 and SU(3) × U(1) × SU(2)2 subgroups. Obtaining sizeable numbers of phenomenologically viable vacua in the last two cases requires identification of fertility conditions. Adaptation of machine learning tools to identify the fertility conditions will be useful when the frequency of viable models becomes exceedingly small in the total space of vacua.

Highlights

String theory provides a viable framework to explore the synthesis of quantum mechanics with gravity
The free fermionic models produced the first known Minimal Standard Heterotic String Models (MSHSM) [7, 8] that give rise solely to the spectrum of the Minimal Supersymmetric Standard Model (MSSM) in the observable charged sector, and have been used to study many of the issues pertaining to the phenomenology of the Standard Model and unification [14]
In the case of LRS models we find a three generation model with viable Higgs spectrum at a frequency of 3/1010

Summary

Introduction

String theory provides a viable framework to explore the synthesis of quantum mechanics with gravity. A desirable property of phenomenological string vacua is the SO(10) embedding of the SM states, which is motivated by the observed gauge charges and couplings. Realistic string models in the free fermionic formulation Among the most realistic string models constructed to date are the heterotic–string models in the free fermionic formulation [1] These models correspond to toroidal Z2×Z2 orbifolds with discrete Wilson lines [2]. The free fermionic models produced the first known Minimal Standard Heterotic String Models (MSHSM) [7, 8] that give rise solely to the spectrum of the Minimal Supersymmetric Standard Model (MSSM) in the observable charged sector, and have been used to study many of the issues pertaining to the phenomenology of the Standard Model and unification [14]. The free fermion models correspond to Z2 × Z2 orbifolds with discrete Wilson lines [2]

Realistic free fermionic models – old school

S e1 e2 e3 e4 e5 e6 z1 z2 b1 b2 α

Towards machine learning

Conclusions