Classification of Left-Right Symmetric Heterotic String Vacua

Abstract

The classification method of the free fermionic heterotic string vacua is extended to models where the $SO(10)$ GUT symmetry is broken directly at the string scale to the Left-Right Symmetric subgroup. Our method involves using a fixed set of basis vectors which are defined by the boundary conditions assigned to the free fermions before enumerating the string vacua by varying the Generalised GSO (GGSO) projection coefficients. It allows the derivation of algebraic expressions for the GGSO projections for each sector that generates massless states in the models. This enables a computerised analysis of the entire massless spectrum of a given choice of GGSO projection coefficients. The total number of vacua in the class of models chosen is $2^{66}\approx 7.38\times 10^{19}$. A statistical sampling is performed and a sample size of $10^{11}$ vacua with the Left-Right Symmetric gauge group is extracted. We present the results of the classification, noting that contrary to the previous classification of Pati-Salam models, no three generation exophobic models were found. The results obtained demonstrate the existence of three generation models with the necessary Higgs representations needed for viable spontaneous symmetry breaking, and with a leading top quark Yukawa coupling.

arXiv comment37 pages. 6 figures. Minor typographical corrections. Published version

References in corpus (48)

• A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
• Supersymmetric Standard Model Spectra from RCFT orientifolds
• Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1
• Search for Proton Decay via $p\to e^{+}{\pi }^0$ and $p\to {\mu }^{+}{\pi }^0$ in 0.31 megaton$\cdot$years exposure of the Super-Kamiokande Water Cherenkov Detector
• Orientifolds, hypercharge embeddings and the Standard Model
• String derived MSSM and M-theory Unification
• The Statistics of Supersymmetric D-brane Models
• Towards a Non-Supersymmetric String Phenomenology
• N=1 supersymmetric SU(4)xSU(2)LxSU(2)R effective theory from the weakly coupled heterotic superstring
• Z_2\times Z_2$ orbifold compactification as the origin of realistic free fermionic models
• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Left-Right Symmetric Heterotic-String Derived Models
• Generation Mass Hierarchy in Superstring Derived Models
• Stable Superstring Relics
• Exophobic Quasi-Realistic Heterotic String Vacua
• Stable Superstring Relics and Ultrahigh Energy Cosmic Rays
• Chiral Heterotic Strings with Positive Cosmological Constant
• On the anomalous U(1) in free fermionic superstring models
• Supersymmetry versus Gauge Symmetry on the Heterotic Landscape
• Low Scale Quark-Lepton Unification
• Spinor-Vector Duality in Heterotic SUSY Vacua
• Classification of the N=2, Z2 X Z2-symmetric type II orbifolds and their type II asymmetric duals
• Flat Directions in Left-Right Symmetric String Derived Models
• NAHE-based string models with SU(4) X SU(2) X U(1) SO(10) Subgroup
• Conformal Aspects of Spinor-Vector Duality
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Minimal Standard Heterotic String Models
• Top Quark Mass in Exophobic Pati--Salam Heterotic String Model
• GUT Precursors and Entwined SUSY: The Phenomenology of Stable Non-Supersymmetric Strings
• Classification of Standard-like Heterotic-String Vacua
• Classification of Flipped SU(5) Heterotic-String Vacua
• The 750 GeV diphoton LHC excess and Extra Z's in Heterotic-String Derived Models
• String Derived Exophobic SU(6)xSU(2) GUTs
• Search for Free Fractional Electric Charge Elementary Particles
• Quantum no-scale regimes and moduli dynamics
• Moduli Fixing in Realistic String Vacua
• On interpolations from SUSY to non-SUSY strings and their properties
• A Light Z' Heterotic-String Derived Model
• Spectral flow as a map between N=(2,0)-models
• Top quark mass coupling and classification of weakly-coupled heterotic superstring vacua
• Twisted superspace: Non-renormalization and fermionic symmetries in certain (heterotic string inspired) non-supersymmetric field theories
• The Flipped SU(5) String Vacua Classification: A Variation Of The SO(10) Breaking Basis Vector
• Classification of SU(4) X SU(2) X U(1) Heterotic-String Models
• Gravitational Threshold Corrections in Non-Supersymmetric Heterotic Strings
• The LHC di-photon excess and Gauge Coupling Unification in Extra $Z^{\prime }$ Heterotic-String Derived Models
• Niemeier Lattices in the Free Fermionic Heterotic-String Formulation
• Generalized Toda flows
• Non-BPS Fractional Branes with Bose-Fermi Cancellation in Asymmetric Orbifolds

Cited by in corpus (16)

• Classification of Non-Supersymmetric Pati-Salam Heterotic String Models
• Towards the Classification of Tachyon-Free Models From Tachyonic Ten-Dimensional Heterotic String Vacua
• Stable Three Generation Standard--like Model From a Tachyonic Ten Dimensional Heterotic--String Vacuum
• String Phenomenology From a Worldsheet Perspective
• Type $\bar{0}$ Heterotic String Orbifolds
• Doublet-Triplet Splitting in Fertile Left-Right Symmetric Heterotic String Vacua
• Satisfiability Modulo Theories and Chiral Heterotic String Vacua with Positive Cosmological Constant
• Type 0 ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds and Misaligned Supersymmetry
• Vacuum Energy in Non-Supersymmetric Quasi-Realistic Heterotic-String Vacua with Fixed Moduli
• 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
• Free Fermionic Constructions of Heterotic Strings
• Precision studies for string derived $Z^{\prime }$ dynamics at the LHC
• Towards machine learning in the classification of Z2xZ2 orbifold compactifications
• 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