Landscape Cartography: A Coarse Survey of Gauge Group Rank and Stabilization of the Proton

Abstract

The landscape of string/M theory is surveyed over a large class of type $IIB$ flux compactification vacua. We derive a simple formula for the average size of the gauge group rank on the landscape under assumptions that we clearly state. We also compute the rank under the restriction of small cosmological constant, and find a slight increase. We discuss how this calculation could impact proton stability by computing the suppression factor for the number of vacua with additional gauge group rank that could be used to protect the proton. Finally, we present our views on the utility and limitations of landscape averages, especially in the context of this analysis.

6 pages. LaTeX. References and some comments added

References in corpus (7)

• The Anthropic Landscape of String Theory
• Building MSSM Flux Vacua
• MSSM vacua from Flux Compactifications
• On the Explicit Construction and Statistics of Calabi-Yau Flux Vacua
• Low Energy Supersymmetry From the Landscape
• Supersymmetry Breaking in the Anthropic Landscape
• Statistical analysis of the supersymmetry breaking scale

Cited by in corpus (34)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Proton stability in grand unified theories, in strings, and in branes
• Type IIA Moduli Stabilization
• Distributions of nonsupersymmetric flux vacua
• Loop-Corrected Compactifications of the Heterotic String with Line Bundles
• The Statistics of Supersymmetric D-brane Models
• One in a Billion: MSSM-like D-Brane Statistics
• Enumerating Flux Vacua with Enhanced Symmetries
• 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
• Statistics of M theory Vacua
• Branches of the Landscape
• LHC and ILC probes of hidden-sector gauge bosons
• Supersymmetry versus Gauge Symmetry on the Heterotic Landscape
• A Review of Distributions on the String Landscape
• Moduli Stabilisation and Applications in IIB String Theory
• Model Building and Phenomenology of Flux-Induced Supersymmetry Breaking on D3-branes
• Surveying Standard Model Flux Vacua on $T^6/Z_2\times Z_2$
• A Calculable Toy Model of the Landscape
• Fighting the Floating Correlations: Expectations and Complications in Extracting Statistical Correlations from the String Theory Landscape
• Calabi-Yau Duals of Torus Orientifolds
• Random Polynomials and the Friendly Landscape
• Enhanced Symmetries in Multiparameter Flux Vacua
• The Noether-Lefschetz Problem and Gauge-Group-Resolved Landscapes: F-Theory on K3 x K3 as a Test Case
• Gauge sector statistics of intersecting D-brane models
• Correlation Classes on the Landscape: To What Extent is String Theory Predictive?
• Twenty-five Questions for String Theorists
• Constraints on $N_c$ in Extensions of the Standard Model
• Diversity in the Tail of the Intersecting Brane Landscape
• Hierarchy from Baryogenesis
• Turing's Landscape: decidability, computability and complexity in string theory
• Ranks of gauge groups and an NP-complete problem on the Landscape