Random Polynomials and the Friendly Landscape

Abstract

In hep-th/0501082, a field theoretic ``toy model'' for the Landscape was proposed. We show that the considerations of that paper carry through to realistic effective Lagrangians, such as those that emerge out of string theory. Extracting the physics of the large number of metastable vacua that ensue requires somewhat more sophisticated algebro-geometric techniques, which we review.

30 pages, LaTeX2e, using utarticle.cls, utphys.bst

References in corpus (20)

• Aspects of Split Supersymmetry
• The Anthropic Landscape of String Theory
• Type IIA Moduli Stabilization
• Landscape, the Scale of SUSY Breaking, and Inflation
• Distributions of nonsupersymmetric flux vacua
• The Statistics of Supersymmetric D-brane Models
• Enumerating Flux Vacua with Enhanced Symmetries
• Basic results in Vacuum Statistics
• On the Explicit Construction and Statistics of Calabi-Yau Flux Vacua
• Low Energy Supersymmetry From the Landscape
• Supersymmetry Breaking in the Anthropic Landscape
• A Moduli Fixing Mechanism in M theory
• Statistical analysis of the supersymmetry breaking scale
• Statistics of M theory Vacua
• Landscape Cartography: A Coarse Survey of Gauge Group Rank and Stabilization of the Proton
• Statistics of String vacua
• A Calculable Toy Model of the Landscape
• Flux Vacua Statistics for Two-Parameter Calabi-Yau's
• CPT and Other Symmetries in String/M Theory
• Compactification with Flux and Yukawa Hierarchies

Cited by in corpus (18)

• N-flation
• Infinite Distances in Field Space and Massless Towers of States
• Random Matrices and the Spectrum of N-flation
• The Swampland Distance Conjecture for Kahler moduli
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• Life at the Interface of Particle Physics and String Theory
• Instantons and infinite distances
• Swampland Distance Conjecture, Inflation and $\alpha$-attractors
• STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology
• Turning intractable counting into sampling: computing the configurational entropy of three-dimensional jammed packings
• Supersymmetry versus Gauge Symmetry on the Heterotic Landscape
• Moduli-dependent Species Scale
• Fighting the Floating Correlations: Expectations and Complications in Extracting Statistical Correlations from the String Theory Landscape
• Gauge sector statistics of intersecting D-brane models
• Correlation Classes on the Landscape: To What Extent is String Theory Predictive?
• Calabi-Yau CFTs and Random Matrices
• Weak Gravity Conjecture for the Effective Field Theories with N Species
• Random Field Theories in The Mirror Quintic Moduli Space