Statistics of M theory Vacua

Abstract

We study the vacuum statistics of ensembles of M theory compactifications on G_2 holonomy manifolds with fluxes, and of ensembles of Freund-Rubin vacua. We discuss similarities and differences between these and Type IIB flux landscapes. For the G_2 ensembles, we find that large volumes are strongly suppressed, and for both, unlike the IIB case, the distribution of cosmological constants is non-uniform. We also argue that these ensembles typically have exponentially more non-supersymmetric than supersymmetric vacua, and show that supersymmetry is virtually always broken at a high scale.

7 figures, 58 pages with summary V2: refs. added

References in corpus (56)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• de Sitter Vacua in String Theory
• Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• CFT's From Calabi-Yau Four-folds
• Aspects of Split Supersymmetry
• The statistics of string/M theory vacua
• Distributions of flux vacua
• Predictions from Quantum Cosmology
• Building a Better Racetrack
• New Supersymmetric String Compactifications
• Type IIA Moduli Stabilization
• Counting Flux Vacua
• The effective action of Type IIA Calabi-Yau orientifolds
• The anthropic principle and the mass scale of the Standard Model
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• Distributions of nonsupersymmetric flux vacua
• Supersymmetric Standard Model Spectra from RCFT orientifolds
• What does inflation really predict?
• Solitons, Superpotentials and Calibrations
• Chiral Fermions from Manifolds of $G_2$ Holonomy
• Stringy corrections to Kahler potentials, SUSY breaking, and the cosmological constant problem
• The Statistics of Supersymmetric D-brane Models
• On Realising N=1 Super Yang-Mills in M theory
• Is There A String Theory Landscape
• Enumerating Flux Vacua with Enhanced Symmetries
• Basic results in Vacuum Statistics
• On the Explicit Construction and Statistics of Calabi-Yau Flux Vacua
• Critical points and supersymmetric vacua
• A Note on Fluxes and Superpotentials in M-theory Compactifications on Manifolds of G_2 Holonomy
• Low Energy Supersymmetry From the Landscape
• On the Taxonomy of Flux Vacua
• Supersymmetry Breaking in the Anthropic Landscape
• Large Hierarchies from Attractor Vacua
• Statistical analysis of the supersymmetry breaking scale
• A Moduli Fixing Mechanism in M theory
• A New Handle on de Sitter Compactifications
• Moduli Potentials in Type IIA Compactifications with RR and NS Flux
• Unification Scale, Proton Decay, And Manifolds Of G_2 Holonomy
• Branches of the Landscape
• Landskepticism: or Why Effective Potentials Don't Count String Models
• Deconstruction, G_2 Holonomy, and Doublet-Triplet Splitting
• The Volume of some Non-spherical Horizons and the AdS/CFT Correspondence
• Landscape Cartography: A Coarse Survey of Gauge Group Rank and Stabilization of the Proton
• Flux, Supersymmetry and M theory on 7-manifolds
• A New Infinite Class of Sasaki-Einstein Manifolds
• Statistics of String vacua
• A Calculable Toy Model of the Landscape
• Calabi-Yau Duals of Torus Orientifolds
• Flux Vacua Statistics for Two-Parameter Calabi-Yau's
• Kahler Potential for M-theory on a G_2 Manifold
• Compactification with Flux and Yukawa Hierarchies
• Freund-Rubin Revisited
• M theory, Joyce Orbifolds and Super Yang-Mills
• Observations on the Space of Four Dimensional String and $M$ theory Vacua

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• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Flux compactifications in string theory: a comprehensive review
• Type IIA Moduli Stabilization
• D-brane Deconstructions in IIB Orientifolds
• A Non-thermal WIMP Miracle
• Physics of String Flux Compactifications
• One in a Billion: MSSM-like D-Brane Statistics
• Moduli Stabilization in Type IIB Orientifolds (II)
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• The $G_2$-MSSM - An $M$ Theory motivated model of Particle Physics
• Explaining the Electroweak Scale and Stabilizing Moduli in M Theory
• An Open String Landscape
• An M theory Solution to the Hierarchy Problem
• Branes with Brains: Exploring String Vacua with Deep Reinforcement Learning
• Scherk-Schwarz reduction of M-theory on G2-manifolds with fluxes
• Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
• Exophobic Quasi-Realistic Heterotic String Vacua
• Classification of Heterotic Pati-Salam Models
• Density Perturbations and the Cosmological Constant from Inflationary Landscapes
• Challenges for String Cosmology
• Mapping an Island in the Landscape
• Supersymmetry versus Gauge Symmetry on the Heterotic Landscape
• Searching the Landscape of Flux Vacua with Genetic Algorithms
• Spinor-Vector Duality in Heterotic SUSY Vacua
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Spinor-Vector Duality in N=2 Heterotic String Vacua
• Classification of Flipped SU(5) Heterotic-String Vacua
• String Derived Exophobic SU(6)xSU(2) GUTs
• Surveying Standard Model Flux Vacua on $T^6/Z_2\times Z_2$
• A D-Brane Landscape on Calabi-Yau Manifolds
• Fighting the Floating Correlations: Expectations and Complications in Extracting Statistical Correlations from the String Theory Landscape
• Bounds on Scalar Masses in Theories of Moduli Stabilization
• Random Polynomials and the Friendly Landscape
• Type IIB flux vacua and tadpole cancellation
• Statistics of intersecting D-brane models on T^6/Z_6
• Kahler Independence of the G2-MSSM
• Enhanced Symmetries in Multiparameter Flux Vacua
• Revealing systematics in phenomenologically viable flux vacua with reinforcement learning
• Taming the Runaway Problem of Inflationary Landscapes
• The Intermediate Scale Branch of the Landscape
• Moduli Stabilisation and the Statistics of SUSY Breaking in the Landscape
• Gauge sector statistics of intersecting D-brane models
• Top quark mass coupling and classification of weakly-coupled heterotic superstring vacua
• Correlation Classes on the Landscape: To What Extent is String Theory Predictive?
• The Flipped SU(5) String Vacua Classification: A Variation Of The SO(10) Breaking Basis Vector
• Holographic Perspectives On Models Of Moduli Stabilization In M-Theory
• Flux and Freund-Rubin Superpotentials in M-theory
• On the Search for Low $W_0$
• Supersymmetry Breaking, Moduli Stabilization and Hidden U(1) Breaking in M-Theory
• Baryogenesis from a Modulus Dominated Universe
• Orientiholes
• Flavour issues for string-motivated heavy scalar spectra with a low gluino mass: the G2-MSSM case
• Phenomenology from the Landscape of String Vacua
• Deriving the Inflaton in Compactified M-theory with a De Sitter Vacuum
• Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino
• Towards classification of SO(10) heterotic string vacua
• Topological Data Analysis for the String Landscape
• Type IIA/M-theory Moduli fixing in a Class of Orientifold Models
• Connecting String/M Theory to the Electroweak Scale and to LHC Data
• Exotica and discreteness in the classification of string spectra
• Singularities in and Stability of Ooguri-Vafa-Verlinde Cosmologies
• Features of deSitter Vacua in M-Theory
• The "landscape" of Pati--Salam heterotic superstring vacua