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

Abstract

The free fermionic classification method provides a powerful tool to investigate string vacua, which led to the discovery of spinor--vector duality and exophobic string models. We extend the classification methodology to both $\mathcal{N}=1$ and $\mathcal{N}=0$ Flipped $SU(5)$ ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ heterotic string orbifolds with asymmetric shifts. The impact of the asymmetric assignments on the phenomenological characteristics of these models is investigated. Of particular interest is the analysis of untwisted moduli fixing for various choices of asymmetric boundary conditions. Two classes of vacua with different characteristics are systematically investigated with help from SAT/SMT algorithms, which are shown to increase search efficiency by up to two orders of magnitude, as well as providing useful tools to find contradictions between various phenomenological criteria. The general form of the partition function for the space of models is explained and given for two specific example models for different choices of asymmetric boundary conditions. Additionally, the distribution of one-loop cosmological constant contributions for samples in the two different classes of models are depicted and discussed.

arXiv comment50 pages, 8 figures

References in corpus (65)

• Brane Supersymmetry Breaking
• Supersymmetry Breaking and Determination of the Unification Gauge Coupling Constant in String Theories
• Construction of Realistic Standard--like Models in the Free Fermionic Superstring Formulation
• Comments on Open-String Orbifolds with a Non-Vanishing B_{ab}
• Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1
• String derived MSSM and M-theory Unification
• Type I vacua with brane supersymmetry breaking
• 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
• Modular Invariance, Finiteness, and Misaligned Supersymmetry: New Constraints on the Numbers of Physical String States
• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Classification of the chiral Z2XZ2 fermionic models in the heterotic superstring
• Left-Right Symmetric Heterotic-String Derived Models
• Non-geometric backgrounds in string theory
• On orbifolds and free fermion constructions
• Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
• String Theory, Misaligned Supersymmetry, and the Supertrace Constraints
• Proton stability in superstring derived models
• Exophobic Quasi-Realistic Heterotic String Vacua
• Classification of Heterotic Pati-Salam Models
• Realizing Higher-Level Gauge Symmetries in String Theory: New Embeddings for String GUTs
• Cabibbo--Kobayashi--Maskawa Mixing in Superstring Derived Standard--like Models
• Super no-scale models in string theory
• Genetic Algorithms and the Search for Viable String Vacua
• Spinor-Vector Duality in Heterotic SUSY Vacua
• Flat Directions in Left-Right Symmetric String Derived Models
• Z_2 x Z_2 Heterotic Orbifold Models of Non Factorisable Six Dimensional Toroidal Manifolds
• Computing Small Unsatisfiable Cores in Satisfiability Modulo Theories
• Conformal Aspects of Spinor-Vector Duality
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Doublet-Triplet Splitting in Realistic Heterotic String Derived models
• Top Quark Mass in Exophobic Pati--Salam Heterotic String Model
• Minimal Standard Heterotic String Models
• On exponential suppression of the cosmological constant in non-SUSY strings at two loops and beyond
• Spinor-Vector Duality in N=2 Heterotic String Vacua
• Classification of Standard-like Heterotic-String Vacua
• Toward the classification of the realistic free fermionic models
• Classification of Flipped SU(5) Heterotic-String Vacua
• 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
• Top Quark Mass Prediction in Superstring Derived Standard--like Models
• N=2 -> 0 super no-scale models and moduli quantum stability
• Moduli Fixing in Realistic String Vacua
• Quasi-realistic heterotic-string models with vanishing one-loop cosmological constant and perturbatively broken supersymmetry?
• Classification of Non-Supersymmetric Pati-Salam Heterotic String Models
• 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
• A Light Z' Heterotic-String Derived Model
• 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
• Top quark mass coupling and classification of weakly-coupled heterotic superstring vacua
• Marginal deformations of heterotic interpolating models and exponential suppression of the cosmological constant
• Misaligned Supersymmetry and Open Strings
• String Phenomenology From a Worldsheet Perspective
• 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
• Non-supersymmetric String Models from Anti-D3-/D7-branes in Strongly Warped Throats
• Type $\bar{0}$ Heterotic String Orbifolds
• Super No-Scale Models with Pati-Salam Gauge Group
• Modular invariance, misalignment and finiteness in non-supersymmetric strings
• 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

Cited by in corpus (2)

• Spinor-Vector Duality and Mirror Symmetry
• Classification of Pati--Salam Asymmetric ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds