One in a Billion: MSSM-like D-Brane Statistics

Abstract

Continuing our recent work hep-th/0411173, we study the statistics of four-dimensional, supersymmetric intersecting D-brane models in a toroidal orientifold background. We have performed a vast computer survey of solutions to the stringy consistency conditions and present their statistical implications with special emphasis on the frequency of Standard Model features. Among the topics we discuss are the implications of the K-theory constraints, statistical correlations among physical quantities and an investigation of the various statistical suppression factors arising once certain Standard Model features are required. We estimate the frequency of an MSSM like gauge group with three generations to be one in a billion.

36 pages, 12 figures; v2: typos corrected, one ref. added; v3: minor changes, version to appear in JHEP

References in corpus (39)

• The statistics of string/M theory vacua
• Distributions of flux vacua
• Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
• Counting Flux Vacua
• Yukawa couplings in intersecting D-brane models
• A Heterotic Standard Model
• The Standard Model from Stable Intersecting Brane World Orbifolds
• Distributions of nonsupersymmetric flux vacua
• Supersymmetric Standard Model Spectra from RCFT orientifolds
• Soft Supersymmetry Breaking in Calabi-Yau Orientifolds with D-branes and Fluxes
• Moduli Stabilization in Chiral Type IIB Orientifold Models with Fluxes
• Flux-induced SUSY-breaking soft terms
• Conformal Field Theory Couplings for Intersecting D-branes on Orientifolds
• Flux-induced Soft Supersymmetry Breaking in Chiral Type IIB Orientifolds with D3/D7-Branes
• Chiral 4d string vacua with D-branes and NSNS and RR fluxes
• Building MSSM Flux Vacua
• The Statistics of Supersymmetric D-brane Models
• Is There A String Theory Landscape
• Enumerating Flux Vacua with Enhanced Symmetries
• Chiral Supersymmetric Standard Model Spectra from Orientifolds of Gepner Models
• On the Explicit Construction and Statistics of Calabi-Yau Flux Vacua
• Interactions in Intersecting Brane Models
• Chiral D-brane Models with Frozen Open String Moduli
• On the Taxonomy of Flux Vacua
• An Open String Landscape
• Gauge Unification in Supersymmetric Intersecting Brane Worlds
• MSSM with Soft SUSY Breaking Terms from D7-Branes with Fluxes
• Statistics of M theory Vacua
• Branches of the Landscape
• Magnetized Four-Dimensional $Z_2\times Z_2$ Orientifolds
• Internal magnetic fields and supersymmetry in orientifolds
• Standard-like Models as Type IIB Flux Vacua
• Landscape Cartography: A Coarse Survey of Gauge Group Rank and Stabilization of the Proton
• Chiral Supersymmetric Gepner Model Orientifolds
• Surveying Standard Model Flux Vacua on $T^6/Z_2\times Z_2$
• Non-Abelian Brane Worlds: The Heterotic String Story
• A Calculable Toy Model of the Landscape
• Flux Vacua Statistics for Two-Parameter Calabi-Yau's
• Some Phenomenology of Intersecting D-Brane Models

Cited by in corpus (108)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
• A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
• Particle physics models of inflation and curvaton scenarios
• The Heterotic Road to the MSSM with R parity
• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• D-brane Deconstructions in IIB Orientifolds
• TASI Lectures on the Cosmological Constant
• Progress in D-brane model building
• Orientifolds, hypercharge embeddings and the Standard Model
• Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
• Heterotic mini-landscape (II): completing the search for MSSM vacua in a Z_6 orbifold
• Moduli Stabilization in Type IIB Orientifolds (II)
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• The landscape of intersecting brane models
• Life at the Interface of Particle Physics and String Theory
• Massless Spectra of Three Generation U(N) Heterotic String Vacua
• Branes with Brains: Exploring String Vacua with Deep Reinforcement Learning
• LHC and ILC probes of hidden-sector gauge bosons
• Classification of Heterotic Pati-Salam Models
• From strings to the MSSM
• Merging Heterotic Orbifolds and K3 Compactifications with Line Bundles
• To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models
• String Theory and the Dark Glueball Problem
• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• Classification of symmetric toroidal orbifolds
• Mapping an Island in the Landscape
• Supersymmetry versus Gauge Symmetry on the Heterotic Landscape
• Searching the Landscape of Flux Vacua with Genetic Algorithms
• The lightest visible-sector supersymmetric particle is likely to be unstable
• D6-branes and torsion
• A Quadrillion Standard Models from F-theory
• Coisotropic D8-branes and Model-building
• String Constraints on Discrete Symmetries in MSSM Type II Quivers
• Complete Gauge Threshold Corrections for Intersecting Fractional D6-Branes: The Z6 and Z6' Standard Models
• Towards Low Energy Physics from the Heterotic String
• The Importance of Being Rigid: D6-Brane Model Building on T6/Z2xZ6' with Discrete Torsion
• SU(5) orientifolds, Yukawa couplings, Stringy Instantons and Proton Decay
• Rigid D6-branes on T6/[Z(2)xZ(2M)xOmegaR] with discrete torsion
• Graceful exit from a stringy landscape via MSSM inflation
• Towards a Systematic Construction of Realistic D-brane Models on a del Pezzo Singularity
• A D-Brane Landscape on Calabi-Yau Manifolds
• Dark Grand Unification in the Axiverse: Decaying Axion Dark Matter and Spontaneous Baryogenesis
• Fighting the Floating Correlations: Expectations and Complications in Extracting Statistical Correlations from the String Theory Landscape
• Glueball Dark Matter revisited
• Building a Stückelberg Portal
• New Grand Unified Models with Intersecting D6-branes, Neutrino Masses, and Flipped SU(5)
• Kaehler metrics and gauge kinetic functions for intersecting D6-branes on toroidal orbifolds - The complete perturbative story
• LHC Phenomenology and Cosmology of String-Inspired Intersecting D-Brane Models
• Statistics of intersecting D-brane models on T^6/Z_6
• String Resonances at Hadron Colliders
• Asymmetric Gepner Models II. Heterotic Weight Lifting
• Asymmetric Gepner Models (Revisited)
• Search Optimization, Funnel Topography, and Dynamical Criticality on the String Landscape
• Statistics of SU(5) D-Brane Models on a Type II Orientifold
• Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology
• Heterotic non-Abelian orbifolds
• Building a Nest at Tree Level: Classical Metastability and Non-Trivial Vacuum Structure in Supersymmetric Field Theories
• A Parallel World in the Dark
• Global embeddings for branes at toric singularities
• Non-supersymmetric Orientifolds of Gepner Models
• Gauge sector statistics of intersecting D-brane models
• Heterotic Weight Lifting
• Three- and Four-point correlators of excited bosonic twist fields
• Breeding realistic D-brane models
• Free Fermion Orientifolds
• Freedom and Constraints in the K3 Landscape
• Intersecting D-Branes on Shift Z2 x Z2 Orientifolds
• Rigour and Rigidity: Systematics on particle physics D6-brane models on Z(2)xZ(6)
• Geometric Transitions on non-Kaehler Manifolds
• Statistical Predictions From Anarchic Field Theory Landscapes
• 134 Billion Intersecting Brane Models
• Asymmetric Gepner Models III. B-L Lifting
• On the Search for Low $W_0$
• Theory of flavors: String compactification
• Cosmic Ray Antihelium from a Strongly Coupled Dark Sector
• Power of Black Hole Physics: Seeing through the Vacuum Landscape
• R-parity from string compactification
• Flux Compactifications on $(S_2{)}^N$
• D-brane Spectrum and K-theory Constraints of D=4, N=1 Orientifolds
• Restrictions on infinite sequences of type IIB vacua
• MSSM via Pati-Salam from Intersecting Branes on $T^6/({\mathbb{Z}}_2\times {\mathbb{Z}}_2^{\prime })$
• Contact interactions in low scale string models with intersecting $D6$-branes
• Towards the field theory of the Standard Model on fractional D6-branes on T6/Z6': Yukawa couplings and masses
• From Type II string theory towards BSM/dark sector physics
• On finiteness of Type IIB compactifications: Magnetized branes on elliptic Calabi-Yau threefolds
• The Family Problem: Hints from Heterotic Line Bundle Models
• Orientiholes
• Aligned Natural Inflation in the Large Volume Scenario
• Constraints on $N_c$ in Extensions of the Standard Model
• Universes as Big Data
• Permutation Orbifold of N=2 Supersymmetric Minimal Models
• String Consistency, Heavy Exotics, and the $750$ GeV Diphoton Excess at the LHC
• Towards Geometric D6-Brane Model Building on non-Factorisable Toroidal ${\mathbb{Z}}_4$-Orbifolds
• Yukawa's of light stringy states
• On Susy Standard-like models from orbifolds of D=6 Gepner orientifolds
• Deformations, Moduli Stabilisation and Gauge Couplings at One-Loop
• Realistic Four-Generation MSSM in Type II String Theory
• Statistics in the Landscape of Intersecting Brane Models
• Diversity in the Tail of the Intersecting Brane Landscape
• Production of light stringy states
• Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino
• Towards classification of SO(10) heterotic string vacua
• Intersecting brane models and F-theory in six dimensions
• Non-perturbative reheating and Nnaturalness
• The "landscape" of Pati--Salam heterotic superstring vacua
• Yukawa couplings from magnetized D-brane models on non-factorisable tori