Heterotic free fermionic and symmetric toroidal orbifold models

Abstract

Free fermionic models and symmetric heterotic toroidal orbifolds both constitute exact backgrounds that can be used effectively for phenomenological explorations within string theory. Even though it is widely believed that for Z2xZ2 orbifolds the two descriptions should be equivalent, a detailed dictionary between both formulations is still lacking. This paper aims to fill this gap: We give a detailed account of how the input data of both descriptions can be related to each other. In particular, we show that the generalized GSO phases of the free fermionic model correspond to generalized torsion phases used in orbifold model building. We illustrate our translation methods by providing free fermionic realizations for all Z2xZ2 orbifold geometries in six dimensions.

arXiv comment1+49 pages latex, minor revisions and references added

References in corpus (51)

• A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
• Supersymmetric Standard Model from the Heterotic String
• Construction of Realistic Standard--like Models in the Free Fermionic Superstring Formulation
• The Heterotic Road to the MSSM with R parity
• Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1
• On Orbifolds with Discrete Torsion
• String derived MSSM and M-theory Unification
• Heterotic mini-landscape (II): completing the search for MSSM vacua in a Z_6 orbifold
• Supersymmetric Standard Model from the Heterotic String (II)
• Towards a Non-Supersymmetric String Phenomenology
• Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory
• A Z2xZ2 standard model
• Z_2\times Z_2$ orbifold compactification as the origin of realistic free fermionic 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
• Superstring standard model from Z_{12-I} orbifold compactification with and without exotics, and effective R-parity
• On orbifolds and free fermion constructions
• Non-supersymmetric heterotic model building
• Resolutions of C^n/Z_n Orbifolds, their U(1) Bundles, and Applications to String Model Building
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• Classification of Heterotic Pati-Salam Models
• Heterotic MSSM on a Resolved Orbifold
• On the Number of Chiral Generations in Z2 X Z2 Orbifolds
• Mirage Torsion
• Heterotic Z6-II MSSM Orbifolds in Blowup
• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• Classification of symmetric toroidal orbifolds
• Z_2 x Z_2 Heterotic Orbifold Models of Non Factorisable Six Dimensional Toroidal Manifolds
• Universality of Gauge Thresholds in Non-Supersymmetric Heterotic Vacua
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Doublet-Triplet Splitting in Realistic Heterotic String Derived models
• Elevating the Free-Fermion $Z_2\times Z_2$ Orbifold Model to a Compactification of F-Theory
• Geography of Fields in Extra Dimensions: String Theory Lessons for Particle Physics
• Partition functions of NAHE-based free fermionic string models
• Classification of Flipped SU(5) Heterotic-String Vacua
• String Derived Exophobic SU(6)xSU(2) GUTs
• Large volume susy breaking with a solution to the decompactification problem
• Toward the M(F)--Theory Embedding of Realistic Free-Fermion Models
• A note on discrete R symmetries in Z6-II orbifolds with Wilson lines
• Revisiting Coupling Selection Rules in Heterotic Orbifold Models
• Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry
• A Zip-code for Quarks, Leptons and Higgs Bosons
• Gauged Linear Sigma Models for toroidal orbifold resolutions
• A Light Z' Heterotic-String Derived Model
• String MSSM through flipped SU(5) from Z_{12} orbifold
• MSSM-like models on Z(8) toroidal orbifolds
• Supersymmetric Models With Tan(beta) Close to Unity
• Gauge Symmetries in Heterotic Asymmetric Orbifolds
• Model building with the non-supersymmetric heterotic SO(16)xSO(16) string
• Three-generation Asymmetric Orbifold Models from Heterotic String Theory

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• T-duality orbifolds of heterotic Narain compactifications
• Classification of Non-Supersymmetric Pati-Salam Heterotic String Models
• The landscape of promising non-supersymmetric string models
• The LHC di-photon excess and Gauge Coupling Unification in Extra $Z^{\prime }$ Heterotic-String Derived Models
• The anomalous U(1) global symmetry and flavors from an SU(5) x SU(5)${}^{\prime }$ GUT in $Z_{12-I}$ orbifold compactification
• From Type II string theory towards BSM/dark sector physics
• Constraint on Spinor-Vector Dualities in Six Dimensions
• Uncovering a Spinor-Vector Duality on a Resolved Orbifold
• Vacuum Energy in Non-Supersymmetric Quasi-Realistic Heterotic-String Vacua with Fixed Moduli
• Completing the eclectic flavor scheme of the ${\mathbb{Z}}_2$ orbifold
• Niemeier Lattices in the Free Fermionic Heterotic-String Formulation
• The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs
• Precision studies for string derived $Z^{\prime }$ dynamics at the LHC
• 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