String derived MSSM and M-theory Unification

Abstract

The recent conjecture of possible equivalence between the string scale $M_S$ and the minimal supersymmetric standard model unification scale M_U ~ 2.5 x 10^{16} GeV is considered in the context of string models. This conjecture suggests that the observable gauge group just below the string scale should be SU(3)_C x SU(2)_L x U(1)_Y and that the SU(3)_C x SU(2)_L x U(1)_Y-charged spectrum of the observable sector should consist solely of the MSSM spectrum. We demonstrate that string models can actually be constructed that possess these observable features. Two aspects generic to many classes of three family SU(3)_C x SU(2)_L x U(1)_Y string models are both an extra local anomalous U(1)_A and numerous (often fractionally charged) exotic particles beyond the MSSM. Thus, for these classes, the key to obtaining an M_S = M_U ~ 2.5 x 10^{16} GeV string model is the existence of F- and D-flat directions that near the string scale can simultaneously break the anomalous U(1) and give mass to all exotic SM-charged observable particles, decoupling them from the low energy spectrum. In this letter we show, in the context of free fermionic strings, that string models with flat directions possessing these features do exist. We present one such string derived model in which all such exotic observable states beyond the MSSM receive mass at the scale generated by the Fayet- Iliopoulos term. The associated F- and D-flat direction is proven flat to all orders of the superpotential.

18 pages. Standard Latex. Version to appear in PLB

References in corpus (5)

• Classification of Flat Directions in Perturbative Heterotic Superstring Vacua with Anomalous U(1)
• Physics Implications of Flat Directions in Free Fermionic Superstring Models I: Mass Spectrum and Couplings
• Intermediate Scales, Mu Parameter, and Fermion Masses from String Models
• The Fayet-Iliopoulos term in Type-I string theory and M-theory
• A Guide to Flat Direction Analysis in Anomalous U(1) Models

Cited by in corpus (135)

• A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• Supersymmetric Standard Model from the Heterotic String
• The Heterotic Road to the MSSM with R parity
• Supersymmetric Standard Model from the Heterotic String (II)
• A Z2xZ2 standard model
• Flipped SU(5) from Z_{12-I} orbifold with Wilson line
• Self-Interacting Dark Matter from the Hidden Heterotic-String Sector
• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Classification of the chiral Z2XZ2 fermionic models in the heterotic superstring
• Superstring standard model from Z_{12-I} orbifold compactification with and without exotics, and effective R-parity
• On orbifolds and free fermion constructions
• Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
• Exophobic Quasi-Realistic Heterotic String Vacua
• Classification of Heterotic Pati-Salam Models
• Gauge Unification in Highly Anisotropic String Compactifications
• Heterotic MSSM on a Resolved Orbifold
• String-derived MSSM vacua with residual R symmetries
• On the Number of Chiral Generations in Z2 X Z2 Orbifolds
• Stable Superstring Relics and Ultrahigh Energy Cosmic Rays
• Massive Neutrinos and (Heterotic) String Theory
• Classification of symmetric toroidal orbifolds
• A Minimal Superstring Standard Model II: A Phenomenological Study
• Machine learning Calabi-Yau metrics
• Spinor-Vector Duality in Heterotic SUSY Vacua
• Z_2 x Z_2 Heterotic Orbifold Models of Non Factorisable Six Dimensional Toroidal Manifolds
• Flat Directions in Left-Right Symmetric String Derived Models
• Conformal Aspects of Spinor-Vector Duality
• NAHE-based string models with SU(4) X SU(2) X U(1) SO(10) Subgroup
• Doublet-Triplet Splitting in Realistic Heterotic String Derived models
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Top Quark Mass in Exophobic Pati--Salam Heterotic String Model
• Minimal Standard Heterotic String Models
• Theory-Motivated Benchmark Models and Superpartners at the Tevatron
• Spectra in Standard-like Z_3 Orbifold Models
• A Minimal Superstring Standard Model I: Flat Directions
• Spinor-Vector Duality in N=2 Heterotic String Vacua
• Classification of Standard-like Heterotic-String Vacua
• Partition functions of NAHE-based free fermionic string models
• The NMSSM and String Theory
• Classification of Flipped SU(5) Heterotic-String Vacua
• Non-Abelian Flat Directions in a Minimal Superstring Standard Model
• The 750 GeV diphoton LHC excess and Extra Z's in Heterotic-String Derived Models
• Phenomenology of Non-Abelian Flat Directions in a Minimal Superstring Standard Model
• Towards Low Energy Physics from the Heterotic String
• Searching for Extra Z' from Strings and Other Models at the LHC with Leptoproduction
• Toric Resolutions of Heterotic Orbifolds
• Large volume susy breaking with a solution to the decompactification problem
• String Derived Exophobic SU(6)xSU(2) GUTs
• Interpolations Among NAHE-based Supersymmetric and Nonsupersymmetric String Vacua
• CP Violation in Supersymmetric U(1)' Models
• CP Violation and Moduli Stabilization in Heterotic Models
• (MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories
• T-duality orbifolds of heterotic Narain compactifications
• Spinor-Vector Duality in Heterotic String Orbifolds
• A Novel String Derived Z' With Stable Proton, Light-Neutrinos and R-parity violation
• GUT Relations from String Theory Compactifications
• String Inspired Neutrino Mass Textures in Light of KamLAND and WMAP
• Moduli Fixing in Realistic String Vacua
• Quasi-realistic heterotic-string models with vanishing one-loop cosmological constant and perturbatively broken supersymmetry?
• A kind of prediction from superstring model building
• Classification of Non-Supersymmetric Pati-Salam Heterotic String Models
• Towards the Classification of Tachyon-Free Models From Tachyonic Ten-Dimensional Heterotic String Vacua
• Moduli stabilization and SUSY breaking in heterotic orbifold string models
• Searching for the Standard Model in the String Landscape : SUSY GUTs
• Proton Stability and Superstring Z'
• Compact heterotic orbifolds in blow-up
• A Light Z' Heterotic-String Derived Model
• Heterotic free fermionic and symmetric toroidal orbifold models
• Extra $Z^{\prime }$s and $W^{\prime }$s in Heterotic--String Derived Models
• Asymmetric Gepner Models II. Heterotic Weight Lifting
• Z_3 orbifolds of the SO(32) heterotic string: 1 Wilson line embeddings
• Stable Three Generation Standard--like Model From a Tachyonic Ten Dimensional Heterotic--String Vacuum
• Classification of Left-Right Symmetric Heterotic String Vacua
• Investigation of Quasi--Realistic Heterotic String Models with Reduced Higgs Spectrum
• Light Z' in Heterotic String Standard-like Models
• On the Possibility of Optical Unification in Heterotic Strings
• String Inspired Z' Model With Stable Proton and Light Neutrino Masses
• String Phenomenology From a Worldsheet Perspective
• Proton Stability and Light $Z^{\prime }$ Inspired by String Derived Models
• Nonperturbative flipped SU(5) vacua in heterotic M-theory
• Higgs--Matter splitting in quasi-realistic orbifold string GUTs
• The Flipped SU(5) String Vacua Classification: A Variation Of The SO(10) Breaking Basis Vector
• Type $\bar{0}$ Heterotic String Orbifolds
• Stringent Phenomenological Investigation into Heterotic String Optical Unification
• Towards String Predictions
• Proton Stability, Gauge Coupling Unification and a Light $Z^{\prime }$ in Heterotic-string Models
• Classification of SU(4) X SU(2) X U(1) Heterotic-String Models
• M-fluences on String Model Building
• CP violation in realistic String Models with family universal anomalous U(1)
• Doublet-Triplet Splitting in Fertile Left-Right Symmetric Heterotic String Vacua
• New Heterotic Non-Kahler Geometries
• Satisfiability Modulo Theories and Chiral Heterotic String Vacua with Positive Cosmological Constant
• D-term Spectroscopy in Realistic Heterotic-String Models
• Free Fermionic Heterotic Model Building and Root Systems
• The LHC di-photon excess and Gauge Coupling Unification in Extra $Z^{\prime }$ Heterotic-String Derived Models
• R-parity from string compactification
• Energy Quantisation and Time Parameterisation
• Gauge symmetry breaking in orbifold model building
• Note on a NAHE Variation
• Type 0 ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds and Misaligned Supersymmetry
• Eigenvalues and eigenforms on Calabi-Yau threefolds
• Constraint on Spinor-Vector Dualities in Six Dimensions
• Charge and Color Breaking and D-terms in String Theory
• Towards Classification of $\mathcal{N}=1$ and $\mathcal{N}=0$ Flipped $SU(5)$ Asymmetric ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds
• MSHSM - Minimal Standard Heterotic String Models
• Heterotic T-folds with a small number of neutral moduli
• Yukawa couplings in SO(10) heterotic M-theory vacua
• Leptophobic Z' in Heterotic-String Derived Models
• Taming Triangulation Dependence of T6/Z2xZ2 Resolutions
• Niemeier Lattices in the Free Fermionic Heterotic-String Formulation
• Sterile Neutrinos in String Derived Models
• Flavor mixing inspired by flipped SU(5) GUT
• Phenomenological viability of orbifold models with three Higgs families
• Tetrahedral Symmetry A${}_4$ in Anti-SU(5) GUT
• Observable/Hidden Broken Symmetry for Symmetric Boundary Conditions
• Systematic Investigations of the Free Fermionic Heterotic String Gauge Group Statistics: Layer 1 Results
• Precision studies for string derived $Z^{\prime }$ dynamics at the LHC
• Quark Masses and Flat Directions in String Models
• The Equivalence Postulate of Quantum Mechanics, Dark Energy and The Intrinsic Curvature of Elementary Particles
• Initial Systematic Investigations of the Landscape of Low Layer NAHE Extensions
• The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs
• Redundancies in Explicitly Constructed Ten Dimensional Heterotic String Models
• Grand unfication models from SO(32) heterotic string
• Classification of the Chiral Z_2 x Z_2 Heterotic String Models
• In Search of the (Minimal Supersymmetric) Standard Model String
• Exotica and discreteness in the classification of string spectra
• R-parity from string compactification
• Randall-Sundrum and Flipped SU(5)
• The Möbius Symmetry of Quantum Mechanics
• Gauge Models in D Dimensions
• Spinor-Vector Duality and Mirror Symmetry
• Towards machine learning in the classification of Z2xZ2 orbifold compactifications
• On the Equivalence of String Vacua
• Classification of Pati--Salam Asymmetric ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds