A Calculable Toy Model of the Landscape
arXiv:hep-th/0412185 · doi:10.1103/PhysRevD.72.026005
Abstract
Motivated by recent discussions of the string-theory landscape, we propose field-theoretic realizations of models with large numbers of vacua. These models contain multiple U(1) gauge groups, and can be interpreted as deconstructed versions of higher-dimensional gauge theory models with fluxes in the compact space. We find that the vacuum structure of these models is very rich, defined by parameter-space regions with different classes of stable vacua separated by boundaries. This allows us to explicitly calculate physical quantities such as the supersymmetry-breaking scale, the presence or absence of R-symmetries, and probabilities of stable versus unstable vacua. Furthermore, we find that this landscape picture evolves with energy, allowing vacua to undergo phase transitions as they cross the boundaries between different regions in the landscape. We also demonstrate that supergravity effects are crucial in order to stabilize most of these vacua, and in order to allow the possibility of cancelling the cosmological constant.
arXiv comment49 pages, LaTeX, 13 figures, references added
References in corpus (89)
- de Sitter Vacua in String Theory
- Hierarchies from Fluxes in String Compactifications
- Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
- (De)Constructing Dimensions
- Aspects of Split Supersymmetry
- The statistics of string/M theory vacua
- Branes Intersecting at Angles
- The Anthropic Landscape of String Theory
- Distributions of flux vacua
- Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
- A Note on the Green - Schwarz Mechanism in Open - String Theories
- Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
- Moduli Stabilization from Fluxes in a Simple IIB Orientifold
- Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
- Intersecting Brane Worlds
- Predictions from Quantum Cosmology
- Type-I strings on magnetised orbifolds and brane transmutation
- Noncommutative Compactifications of Type I Strings on Tori with Magnetic Background Flux
- Counting Flux Vacua
- PeV-Scale Supersymmetry
- Landscape, the Scale of SUSY Breaking, and Inflation
- A WAY TO BREAK SUPERSYMMETRY
- Anomalous U(1)'s in Type I and Type IIB D=4, N=1 string vacua
- Distributions of nonsupersymmetric flux vacua
- Implications of Abelian Extended Gauge Structures From String Models
- Soft Supersymmetry Breaking in Calabi-Yau Orientifolds with D-branes and Fluxes
- Moduli Stabilization in Chiral Type IIB Orientifold Models with Fluxes
- Fayet-Iliopoulos Terms in Supergravity and Cosmology
- Flux-induced SUSY-breaking soft terms on D7-D3 brane systems
- Saltatory Relaxation of the Cosmological Constant
- Chiral 4d string vacua with D-branes and NSNS and RR fluxes
- Building MSSM Flux Vacua
- Supersymmetric 4D Orientifolds of Type IIA with D6-branes at Angles
- Kinetic Mixing and the Supersymmetric Gauge Hierarchy
- Supersymmetry Breaking, M-Theory and Fluxes
- The Statistics of Supersymmetric D-brane Models
- Is There A String Theory Landscape
- Supersymmetric Orientifolds in 6D with D-Branes at Angles
- Enumerating Flux Vacua with Enhanced Symmetries
- Gauge couplings in four-dimensional Type I string orbifolds
- MSSM vacua from Flux Compactifications
- On the Explicit Construction and Statistics of Calabi-Yau Flux Vacua
- Critical points and supersymmetric vacua
- Signatures of long-lived gluinos in split supersymmetry
- Anomalies in orbifold field theories
- Anomalies, Fayet-Iliopoulos terms and the consistency of orbifold field theories
- Anthropic considerations in multiple domain theories and the scale of electroweak symmetry breaking
- On the Taxonomy of Flux Vacua
- Supersymmetry of M-Branes at Angles
- Splitting Supersymmetry in String Theory
- Large Hierarchies from Attractor Vacua
- Chiral supersymmetric models on an orientifold of Z_4 x Z_2 with intersecting D6-branes
- de Sitter String Vacua from Supersymmetric D-terms
- Dark Matter in the Finely Tuned Minimal Supersymmetric Standard Model
- Statistical analysis of the supersymmetry breaking scale
- A Framework for the Landscape
- MSSM with Soft SUSY Breaking Terms from D7-Branes with Fluxes
- Split Supersymmetry at Colliders
- Neutralino Dark Matter Detection in Split Supersymmetry Scenarios
- On the One Loop Fayet-Iliopoulos Term in Chiral Four Dimensional Type I Orbifolds
- New Standard Model Vacua from Intersecting Branes
- String Unification, Higher-Level Gauge Symmetries, and Exotic Hypercharge Normalizations
- Magnetized Four-Dimensional Orientifolds
- The Fluxed MSSM
- On Anomalies in Orbifold Theories
- Split Supersymmetry, stable gluino, and gluinonium
- New Standard-like Models from Intersecting D4-Branes
- Standard-like models from Intersecting D5-branes
- A Barren Landscape?
- One Loop Predictions of the Finely Tuned SSM
- Hierarchically Split Supersymmetry with Fayet-Iliopoulos D-terms in String Theory
- Spontaneous Creation of Inflationary Universes and the Cosmic Landscape
- String Dualities in the Presence of Anomalous U(1) Symmetries
- Landscape Cartography: A Coarse Survey of Gauge Group Rank and Stabilization of the Proton
- The Higgs Boson Mass in Split Supersymmetry at Two-Loops
- Anthropic Distribution for Cosmological Constant and Primordial Density Perturbations
- Probing Split Supersymmetry with Cosmic Rays
- Model Building and Phenomenology of Flux-Induced Supersymmetry Breaking on D3-branes
- Chargino Pair Production at Linear Collider and Split Supersymmetry
- Type I Vacua from Diagonal -Orbifolds
- Axion Models with High-Scale Supersymmetry Breaking
- Deconstructed U(1) and Supersymmetry Breaking
- Orientifolds with Flux
- Some Phenomenology of Intersecting D-Brane Models
- Sparticle spectrum and phenomenology in split supersymmetry: some possibilities
- A Model of Yukawa Hierarchies
- Standard Models and Split Supersymmetry from Intersecting Brane Orbifolds
- Bounds on the Higgs Mass in Variations of Split Supersymmetry
- Deconstructing 5D supersymmetric U(1) gauge theories on orbifolds
Cited by in corpus (28)
- Flux Compactification
- One in a Billion: MSSM-like D-Brane Statistics
- Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
- Statistics of M theory Vacua
- Branches of the Landscape
- A Unified Framework for Symmetry Breaking in SO(10)
- Supersymmetry versus Gauge Symmetry on the Heterotic Landscape
- Can we predict for the Non-SUSY sector of the Landscape ?
- Gravitational Lensing Analyzed by Graded Refractive Index of Vacuum
- Split Supersymmetry from Anomalous U(1)
- Surveying Standard Model Flux Vacua on
- Fighting the Floating Correlations: Expectations and Complications in Extracting Statistical Correlations from the String Theory Landscape
- Nuclear Astrophysics of Worlds in the String Landscape
- Random Polynomials and the Friendly Landscape
- Building a Nest at Tree Level: Classical Metastability and Non-Trivial Vacuum Structure in Supersymmetric Field Theories
- Gauge sector statistics of intersecting D-brane models
- Correlation Classes on the Landscape: To What Extent is String Theory Predictive?
- A Simple Optical Analysis of Gravitational Lensing
- Solving the SUSY CP problem with flavor breaking F-terms
- Could the variation in quasar luminosity, due to extra dimension 3-brane in RS model, be measurable?
- Variation in the luminosity of Kerr quasars due to extra dimension in brane Randall-Sundrum model
- Dynamically Warped Theory Space and Collective Supersymmetry Breaking
- Structure of split supersymmetry and simple models
- Hunting long-lived gluinos at the Pierre Auger Observatory
- Dynamical Higgs potentials with a landscape
- Cascades and Collapses, Great Walls and Forbidden Cities: Infinite Towers of Metastable Vacua in Supersymmetric Field Theories
- Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era
- New Non-Trivial Vacuum Structures in Supersymmetric Field Theories