Classification of Standard-like Heterotic-String Vacua

Abstract

We extend the free fermionic classification methodology to the class of standard-like heterotic-string vacua, in which the $SO(10)$ GUT symmetry is broken at the string level to $SU(3)\times SU(2)\times U(1{)}^2$. The space of GGSO free phase configurations in this case is vastly enlarged compared to the corresponding $SO(6)\times SO(4)$ and $SU(5)\times U(1)$ vacua. Extracting substantial numbers of phenomenologically viable models therefore requires a modification of the classification methods. This is achieved by identifying conditions on the GGSO projection coefficients, which are satisfied at the $SO(10)$ level by random phase configurations, and that lead to three generation models with the $SO(10)$ symmetry broken to the $SU(3)\times SU(2)\times U(1{)}^2$ subgroup. Around each of these fertile $SO(10)$ configurations, we perform a complete classification of standard-like models, by adding the $SO(10)$ symmetry breaking basis vectors, and scanning all the associated GGSO phases. Following this methodology we are able to generate some $10^7$ three generation Standard-like Models. We present the results of the classification and one exemplary model with distinct phenomenological properties, compared to previous SLM constructions.

37 pages. 3 figures. 9 tables. Minor corrections. Published version

References in corpus (20)

• A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
• Orientifolds, hypercharge embeddings and the Standard Model
• Towards a Non-Supersymmetric String Phenomenology
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
• Classification of Heterotic Pati-Salam Models
• Chiral Heterotic Strings with Positive Cosmological Constant
• Supersymmetry versus Gauge Symmetry on the Heterotic Landscape
• Spinor-Vector Duality in Heterotic SUSY Vacua
• Top Quark Mass in Exophobic Pati--Salam Heterotic String Model
• Minimal Standard Heterotic String Models
• Spinor-Vector Duality in N=2 Heterotic String Vacua
• Classification of Flipped SU(5) Heterotic-String Vacua
• GAz: A Genetic Algorithm for Photometric Redshift Estimation
• A Light Z' Heterotic-String Derived Model
• Top quark mass coupling and classification of weakly-coupled heterotic superstring vacua
• Artificial Neural Network in Cosmic Landscape
• Classification of SU(4) X SU(2) X U(1) Heterotic-String Models
• Gravitational Threshold Corrections in Non-Supersymmetric Heterotic Strings

Cited by in corpus (29)

• Deep Learning and AdS/CFT
• AdS/CFT as a deep Boltzmann machine
• GUT Precursors and Entwined SUSY: The Phenomenology of Stable Non-Supersymmetric Strings
• Towards the Classification of Tachyon-Free Models From Tachyonic Ten-Dimensional Heterotic String Vacua
• Classification of Non-Supersymmetric Pati-Salam Heterotic String Models
• Stable Three Generation Standard--like Model From a Tachyonic Ten Dimensional Heterotic--String Vacuum
• Classification of Left-Right Symmetric Heterotic String Vacua
• String Phenomenology From a Worldsheet Perspective
• Type $\bar{0}$ Heterotic String Orbifolds
• Super No-Scale Models with Pati-Salam Gauge Group
• Doublet-Triplet Splitting in Fertile Left-Right Symmetric Heterotic String Vacua
• Satisfiability Modulo Theories and Chiral Heterotic String Vacua with Positive Cosmological Constant
• Jumping Spectra and Vanishing Couplings in Heterotic Line Bundle Standard Models
• Type 0 ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds and Misaligned Supersymmetry
• Constraint on Spinor-Vector Dualities in Six Dimensions
• Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era
• Vacuum Energy in Non-Supersymmetric Quasi-Realistic Heterotic-String Vacua with Fixed Moduli
• Three-Generation Super No-Scale Models in Heterotic Superstrings
• Towards Classification of $\mathcal{N}=1$ and $\mathcal{N}=0$ Flipped $SU(5)$ Asymmetric ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds
• Sterile Neutrinos in String Derived Models
• Taming Triangulation Dependence of T6/Z2xZ2 Resolutions
• Precision studies for string derived $Z^{\prime }$ dynamics at the LHC
• The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs
• Free Fermionic Constructions of Heterotic Strings
• Spontaneous dark-matter mass generation along cosmological attractors in string theory
• Towards machine learning in the classification of Z2xZ2 orbifold compactifications
• Spinor-Vector Duality and Mirror Symmetry
• Classification of Pati--Salam Asymmetric ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds
• $Z^{\prime }$s and sterile neutrinos from heterotic string models: exploring $Z^{\prime }$ mass exclusion limits