Classification of Non-Supersymmetric Pati-Salam Heterotic String Models

Abstract

We extend the classification of fermionic ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ heterotic string orbifolds to non--supersymmetric Pati--Salam (PS) models in two classes of vacua, that we dub $\tilde{S}$--models and $S$--models. The first correspond to compactifications of a tachyonic ten--dimensional vacuum, whereas the second correspond to compactifications of the ten--dimensional tachyon--free $SO(16)\times SO(16)$ heterotic string. In both cases we develop a systematic method to extract tachyon--free four--dimensional models. We show that tachyon--free configurations arise with probability $\sim 0.002$ and $\sim 0.01$ in the first and second case, respectively. We adapt the `fertility methodology' that facilitates the extraction of phenomenological models. We show that Pati--Salam $\tilde{S}$--models do not contain heavy Higgs scalar representations that are required to break the PS symmetry to the Standard Model and are therefore not phenomenologically viable. Hence, we argue that in $\tilde{S}$--models the $SO(10)$ GUT symmetry must be broken at the string scale to the Standard--like Model subgroup. We extract tachyon--free three generation models in both cases that contain an equal number of massless bosonic and fermionic degrees of freedom, $i.e.$ with $a_{00}=N_b^0-N_f^0=0$, and analyse their one--loop partition function.

arXiv comment37 pages. 5 figures. Standard LaTex. Added Comments

References in corpus (59)

• Construction of Realistic Standard--like Models in the Free Fermionic Superstring Formulation
• Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1
• String derived MSSM and M-theory Unification
• Towards a Non-Supersymmetric String Phenomenology
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• N=1 supersymmetric SU(4)xSU(2)LxSU(2)R effective theory from the weakly coupled heterotic superstring
• Modular Invariance, Finiteness, and Misaligned Supersymmetry: New Constraints on the Numbers of Physical String States
• Z_2\times Z_2$ orbifold compactification as the origin of realistic free fermionic models
• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Classification of the chiral Z2XZ2 fermionic models in the heterotic superstring
• Gauge Coupling Unification in Realistic Free-Fermionic String Models
• Left-Right Symmetric Heterotic-String Derived Models
• Stable Superstring Relics
• String Theory, Misaligned Supersymmetry, and the Supertrace Constraints
• Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
• Exophobic Quasi-Realistic Heterotic String Vacua
• Gauge Coupling Unification in Superstring Derived Standard--like Models
• Classification of Heterotic Pati-Salam Models
• Realizing Higher-Level Gauge Symmetries in String Theory: New Embeddings for String GUTs
• Chiral Heterotic Strings with Positive Cosmological Constant
• Super no-scale models in string theory
• 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
• Z_2 x Z_2 Heterotic Orbifold Models of Non Factorisable Six Dimensional Toroidal Manifolds
• 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
• de Sitter in non-supersymmetric string theories: no-go theorems and brane-worlds
• Top Quark Mass in Exophobic Pati--Salam Heterotic String Model
• Minimal Standard Heterotic String Models
• Spinor-Vector Duality in N=2 Heterotic String Vacua
• 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
• Light Threshold Effects in Supersymmetric Grand Unified Theories
• Large volume susy breaking with a solution to the decompactification problem
• String Derived Exophobic SU(6)xSU(2) GUTs
• Stability, enhanced gauge symmetry and suppressed cosmological constant in 9D heterotic interpolating models
• Interpolations Among NAHE-based Supersymmetric and Nonsupersymmetric String Vacua
• Spinor-Vector Duality in Heterotic String Orbifolds
• Quantum no-scale regimes and moduli dynamics
• Stability and vacuum energy in open string models with broken supersymmetry
• Towards the Classification of Tachyon-Free Models From Tachyonic Ten-Dimensional Heterotic String Vacua
• On interpolations from SUSY to non-SUSY strings and their properties
• Heterotic free fermionic and symmetric toroidal orbifold models
• Vacuum stability, string density of states and the Riemann zeta function
• Stable Three Generation Standard--like Model From a Tachyonic Ten Dimensional Heterotic--String Vacuum
• Classification of Left-Right Symmetric Heterotic String Vacua
• Stable Vacua for Tachyonic Strings
• Top quark mass coupling and classification of weakly-coupled heterotic superstring vacua
• String Phenomenology From a Worldsheet Perspective
• Twisted superspace: Non-renormalization and fermionic symmetries in certain (heterotic string inspired) non-supersymmetric field theories
• Exponentially suppressed cosmological constant with enhanced gauge symmetry in heterotic interpolating models
• 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
• Doublet-Triplet Splitting in Fertile Left-Right Symmetric Heterotic String Vacua
• The LHC di-photon excess and Gauge Coupling Unification in Extra $Z^{\prime }$ Heterotic-String Derived Models
• Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era

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• Towards Classification of $\mathcal{N}=1$ and $\mathcal{N}=0$ Flipped $SU(5)$ Asymmetric ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds
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