A Heterotic Standard Model

Abstract

Within the context of the E_8 x E_8 heterotic superstring compactified on a smooth Calabi-Yau threefold with an SU(4) gauge instanton, we show the existence of simple, realistic N=1 supersymmetric vacua that are compatible with low energy particle physics. The observable sector of these vacua has gauge group SU(3)_C x SU(2)_L x U(1)_Y x U(1)_{B-L}, three families of quarks and leptons, each with an additional right-handed neutrino, two Higgs-Higgs conjugate pairs, a small number of uncharged moduli and no exotic matter. The hidden sector contains non-Abelian gauge fields and moduli. In the strong coupling case there is no exotic matter, whereas for weak coupling there are a small number of additional matter multiplets in the hidden sector. The construction exploits a mechanism for ``splitting'' multiplets. The minimal nature and rarity of these vacua suggest the possible theoretical and experimental relevance of spontaneously broken U(1)_{B-L} gauge symmetry and two Higgs-Higgs conjugate pairs. The U(1)_{B-L} symmetry helps to naturally suppress the rate of nucleon decay.

11+1 pp, typos corrected

References in corpus (21)

• Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
• Three-Family Supersymmetric Standard-like Models from Intersecting Brane Worlds
• Getting just the Standard Model at Intersecting Branes
• The Standard Model from Stable Intersecting Brane World Orbifolds
• Supersymmetric Standard Model Spectra from RCFT orientifolds
• Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes
• Building MSSM Flux Vacua
• Supersymmetric Pati-Salam Models from Intersecting D6-branes: A Road to the Standard Model
• MSSM vacua from Flux Compactifications
• Chiral Supersymmetric Standard Model Spectra from Orientifolds of Gepner Models
• Standard-Model Bundles on Non-Simply Connected Calabi--Yau Threefolds
• Five--Branes and Supersymmetry Breaking in M--Theory
• Vector Bundle Moduli and Small Instanton Transitions
• Small Instanton Transitions in Heterotic M-Theory
• Completion of standard-like embeddings
• Higgs Doublets, Split Multiplets and Heterotic SU(3)_C x SU(2)_L x U(1)_Y Spectra
• SU(4) Instantons on Calabi-Yau Threefolds with Z_2 x Z_2 Fundamental Group
• Torus-Fibered Calabi-Yau Threefolds with Non-Trivial Fundamental Group
• The Moduli of Reducible Vector Bundles
• Invariant Homology on Standard Model Manifolds
• Heterotic M-Theory Vacua with Five-Branes

Cited by in corpus (186)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux compactifications in string theory: a comprehensive review
• Ekpyrotic and Cyclic Cosmology
• New Ekpyrotic Cosmology
• An SU(5) Heterotic Standard Model
• Supersymmetric Standard Model from the Heterotic String
• Heterotic Line Bundle Standard Models
• The Exact MSSM Spectrum from String Theory
• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
• Building the Standard Model on a D3-brane
• Exploring Positive Monad Bundles And A New Heterotic Standard Model
• A Standard Model from the E8 x E8 Heterotic Superstring
• One in a Billion: MSSM-like D-Brane Statistics
• M-Theory Inflation from Multi M5-Brane Dynamics
• Heterotic Compactification, An Algorithmic Approach
• A Comprehensive Scan for Heterotic SU(5) GUT models
• Flipped SU(5) X U(1)_X Models from F-Theory
• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
• Interpretation of the diphoton excess at CMS and ATLAS
• Stabilizing All Geometric Moduli in Heterotic Calabi-Yau Vacua
• New Calabi-Yau Manifolds with Small Hodge Numbers
• Massless Spectra of Three Generation U(N) Heterotic String Vacua
• Supersymmetric Galileons
• Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua
• Tri-linear Couplings in an Heterotic Minimal Supersymmetric Standard Model
• Stability Walls in Heterotic Theories
• The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
• Supersymmetric (non-)Abelian Bundles in the Type I and SO(32) Heterotic String
• Supersymmetric P(X,phi) and the Ghost Condensate
• Non-supersymmetric heterotic model building
• Resolutions of C^n/Z_n Orbifolds, their U(1) Bundles, and Applications to String Model Building
• From strings to the MSSM
• Calabi-Yau Metrics for Quotients and Complete Intersections
• Heterotic Moduli Stabilisation
• String Theory and the Dark Glueball Problem
• Yukawa Couplings in Heterotic Standard Models
• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• Classification of symmetric toroidal orbifolds
• The Edge Of Supersymmetry: Stability Walls in Heterotic Theory
• Heterotic Z6-II MSSM Orbifolds in Blowup
• Eigenvalues and Eigenfunctions of the Scalar Laplace Operator on Calabi-Yau Manifolds
• Machine learning Calabi-Yau metrics
• Gravitational Waves from Dark Yang-Mills Sectors
• The Mass Spectra, Hierarchy and Cosmology of B-L MSSM Heterotic Compactifications
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Deep learning in the heterotic orbifold landscape
• The Revival of (0,2) Linear Sigma Models
• Yukawa Couplings in Heterotic Compactification
• The B-L/Electroweak Hierarchy in Heterotic String and M-Theory
• A Quadrillion Standard Models from F-theory
• Stabilizing Moduli with a Positive Cosmological Constant in Heterotic M-Theory
• Gauge-Mediated Supersymmetry Breaking in String Compactifications
• Geography of Fields in Extra Dimensions: String Theory Lessons for Particle Physics
• Yukawa Textures From Heterotic Stability Walls
• Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes
• Getting CICY High
• The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Counting String Theory Standard Models
• Numerical Hermitian Yang-Mills Connections and Vector Bundle Stability in Heterotic Theories
• Worldsheet Instantons and Torsion Curves, Part B: Mirror Symmetry
• Spontaneous R-Parity Breaking, Stop LSP Decays and the Neutrino Mass Hierarchy
• The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning
• Worldsheet Instantons, Torsion Curves, and Non-Perturbative Superpotentials
• Toric Resolutions of Heterotic Orbifolds
• Dynamical SUSY Breaking in Heterotic M-Theory
• Exploring the SO(32) Heterotic String
• The B-L/Electroweak Hierarchy in Smooth Heterotic Compactifications
• No-go theorems for R symmetries in four-dimensional GUTs
• T-duality orbifolds of heterotic Narain compactifications
• Non-Abelian Brane Worlds: The Heterotic String Story
• Moduli Space of Torsional Manifolds
• Towards Realizing Dynamical SUSY Breaking in Heterotic Model Building
• Heterotic Cosmic Strings
• Distinguishing Elliptic Fibrations with AI
• Dark Grand Unification in the Axiverse: Decaying Axion Dark Matter and Spontaneous Baryogenesis
• Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_{\infty }$ algebra
• A Heterotic Standard Model with B-L Symmetry and a Stable Proton
• LSP Squark Decays at the LHC and the Neutrino Mass Hierarchy
• Stability of the Minimal Heterotic Standard Model Bundle
• Worldsheet Instantons and Torsion Curves, Part A: Direct Computation
• G-structures and Domain Walls in Heterotic Theories
• Hodge Numbers for All CICY Quotients
• Moduli Dependent mu-Terms in a Heterotic Standard Model
• A search for $B-L$ $R$-parity-violating top squarks in $\sqrt{s}=13$ TeV $pp$ collisions with the ATLAS experiment
• Families of Quintic Calabi-Yau 3-Folds with Discrete Symmetries
• Wilson Lines and a Canonical Basis of SU(4) Heterotic Standard Models
• Hypercharge Flux in Heterotic Compactifications
• Explore and Exploit with Heterotic Line Bundle Models
• Heterotic Standard Model Moduli
• Transitions in the Web of Heterotic Vacua
• Vacuum Geometry and the Search for New Physics
• Moduli stabilization and SUSY breaking in heterotic orbifold string models
• Implications of Canonical Gauge Coupling Unification in High-Scale Supersymmetry Breaking
• Searching for the Standard Model in the String Landscape : SUSY GUTs
• Gauged Linear Sigma Models for toroidal orbifold resolutions
• Numerical Hermitian Yang-Mills Connections and Kahler Cone Substructure
• Heterotic domain wall solutions and SU(3) structure manifolds
• Compact heterotic orbifolds in blow-up
• Non-generic Couplings in Supersymmetric Standard Models
• Electroweak Supersymmetry around the Electroweak Scale
• Heterotic orbifold resolutions as (2,0) gauged linear sigma models
• Holomorphic Yukawa Couplings in Heterotic String Theory
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• LHC and dark matter signals of Z' bosons
• Hodge Numbers for CICYs with Symmetries of Order Divisible by 4
• Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds
• Heterotic String Model Building with Monad Bundles and Reinforcement Learning
• Realistic three-generation models from SO(32) heterotic string theory
• A Statistical Analysis of the Minimal SUSY B-L Theory
• Perturbative Reheating in Sneutrino-Higgs Cosmology
• A perfect match of MSSM-like orbifold and resolution models via anomalies
• Heterotic and M-theory Compactifications for String Phenomenology
• Contrast data mining for the MSSM from strings
• Perturbative Anti-Brane Potentials in Heterotic M-theory
• General aspects of heterotic string compactifications on stacks and gerbes
• A Realistic Intersecting D6-Brane Model after the First LHC Run
• MSSM-like models on Z(8) toroidal orbifolds
• Calabi-Yau Metrics, Energy Functionals and Machine-Learning
• Natural Inflation from Near Alignment in Heterotic String Theory
• Double-Scaling Limit of Heterotic Bundles and Dynamical Deformation in CFT
• Flux, Gaugino Condensation and Anti-Branes in Heterotic M-theory
• The F-Landscape: Dynamically Determining the Multiverse
• Higgs Mass and Muon $g-2$ Anomaly in MSSM with Gauge-Gravity hybrid Mediation
• Non-vanishing Superpotentials in Heterotic String Theory and Discrete Torsion
• Root Bundles and Towards Exact Matter Spectra of F-theory MSSMs
• Holomorphic Yukawa Couplings for Complete Intersection Calabi-Yau Manifolds
• Solving Flavor Puzzles with Quiver Gauge Theories
• New Heterotic Non-Kahler Geometries
• Machine Learning Line Bundle Connections
• Search for trilepton resonances from chargino and neutralino pair production in $\sqrt{s}$ = 13 TeV $pp$ collisions with the ATLAS detector
• Statistics of Limit Root Bundles Relevant for Exact Matter Spectra of F-Theory MSSMs
• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• On Open Membranes, Cosmic Strings and Moduli Stabilization
• Matter Field Kahler Metric in Heterotic String Theory from Localisation
• R-parity from string compactification
• Triadophilia: A Special Corner in the Landscape
• An Algorithmic Approach to Heterotic String Phenomenology
• Gauge Unification via Stable Brane Recombination
• Jumping Spectra and Vanishing Couplings in Heterotic Line Bundle Standard Models
• SO(32) heterotic line bundle models
• Brill-Noether-general Limit Root Bundles: Absence of vector-like Exotics in F-theory Standard Models
• General Gauge and Anomaly Mediated Supersymmetry Breaking in Grand Unified Theories with Vector-Like Particles
• Model building with the non-supersymmetric heterotic SO(16)xSO(16) string
• Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
• Eigenvalues and eigenforms on Calabi-Yau threefolds
• Constraint on Spinor-Vector Dualities in Six Dimensions
• Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications
• Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
• Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard Model
• Heterotic Moduli Stabilisation and Non-Supersymmetric Vacua
• Heterotic Line Bundle Models on Generalized Complete Intersection Calabi Yau Manifolds
• New supersymmetric index of heterotic compactifications with torsion
• Free Quotients of Favorable Calabi-Yau Manifolds
• Constraints on Standard Model Constructions in F-theory
• Heterotic String Models on Smooth Calabi-Yau Threefolds
• B-L Cosmic Strings in Heterotic Standard Models
• Time, E8, and the Standard Model
• Phenomenological viability of orbifold models with three Higgs families
• Chern-Simons Invariants and Heterotic Superpotentials
• Taming Triangulation Dependence of T6/Z2xZ2 Resolutions
• Tetrahedral Symmetry A${}_4$ in Anti-SU(5) GUT
• Moduli restriction and Chiral Matter in Heterotic String Compactifications
• Flavor mixing inspired by flipped SU(5) GUT
• Stable and Metastable Cosmic Strings in Heterotic M-Theory
• Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions
• The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs
• String Inspired Singlet Extensions of the Minimal Supersymmetric Standard Model
• Vacuum Varieties, Holomorphic Bundles and Complex Structure Stabilization in Heterotic Theories
• Line bundle embeddings for heterotic theories
• Improved statistics for F-theory standard models
• No-Scale Multiverse Blueprints at the LHC
• Explicit Soft Supersymmetry Breaking in the Heterotic M-Theory $B-L$ MSSM
• Light Higgsino Dark Matter in the MSSM on D-branes
• Heterotic Complex Structure Moduli Stabilization for Elliptically Fibered Calabi-Yau Manifolds
• $N=1$ Supergravitational Heterotic Galileons
• Generalized Compactification in Heterotic String Theory
• Calabi-Yau compactifications of non-supersymmetric heterotic string theory
• Higgs Multiplets in Heterotic GUT Models
• Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM
• Heterotic $M$-Theory Hidden Sectors with an Anomalous $U(1)$ Gauge Symmetry
• A search for $R$-parity violating supersymmetric decays of the top squark to a $b$-jet and a lepton in $\sqrt{s}$ = 13 TeV $pp$ collisions with the ATLAS detector
• Light $U(1)$s in heterotic string models
• FIMP Dark Matter in Heterotic M-Theory
• Yukawa Textures From Singular Spectral Data