Geography of Fields in Extra Dimensions: String Theory Lessons for Particle Physics

Abstract

String theoretical ideas might be relevant for particle physics model building. Ideally one would hope to find a unified theory of all fundamental interactions. There are only few consistent string theories in D=10 or 11 space-time dimensions, but a huge landscape in D=4. We have to explore this landscape to identify models that describe the known phenomena of particle physics. Properties of compactified six spatial dimensions are crucial in that respect. We postulate some useful rules to investigate this landscape and construct realistic models. We identify common properties of the successful models and formulate lessons for further model building.

arXiv commentTo be published in "Perspectives on String Phenomenology" (World Scientific)

References in corpus (42)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Soft Supersymmetry Breaking in KKLT Flux Compactification
• A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• Stability of flux compactifications and the pattern of supersymmetry breaking
• Stringy origin of non-Abelian discrete flavor symmetries
• Supersymmetric Standard Model from the Heterotic String
• A Heterotic Standard Model
• Supersymmetric Standard Model Spectra from RCFT orientifolds
• De Sitter Vacua from Matter Superpotentials
• Heterotic Line Bundle Standard Models
• The Heterotic Road to the MSSM with R parity
• A Natural Solution to the MU Problem
• 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
• Supersymmetric Standard Model from the Heterotic String (II)
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• Non-Abelian discrete gauge symmetries in 4d string models
• Flipped SU(5) from Z_{12-I} orbifold with Wilson line
• Heterotic Brane World
• Discrete gauge symmetries in D-brane models
• Superstring standard model from Z_{12-I} orbifold compactification with and without exotics, and effective R-parity
• Metastable Vacua in Flux Compactifications and Their Phenomenology
• Large hierarchies from approximate R symmetries
• Low Energy Supersymmetry from the Heterotic Landscape
• From strings to the MSSM
• To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models
• Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds
• Dual Models of Gauge Unification in Various Dimensions
• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• Classification of symmetric toroidal orbifolds
• Supersymmetry versus Gauge Symmetry on the Heterotic Landscape
• The heterotic string yields natural supersymmetry
• String Constraints on Discrete Symmetries in MSSM Type II Quivers
• Mirage Pattern from the Heterotic String
• Towards Low Energy Physics from the Heterotic String
• The Importance of Being Rigid: D6-Brane Model Building on T6/Z2xZ6' with Discrete Torsion
• Approximate R-symmetries and the mu term
• Origin of family symmetries
• A Zip-code for Quarks, Leptons and Higgs Bosons
• The heterotic MiniLandscape and the 126 GeV Higgs boson
• Crosschecks for Unification at the LHC

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• A string landscape guide to soft SUSY breaking terms
• Delta(54) flavor phenomenology and strings
• Contrast data mining for the MSSM from strings
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• Note on the space group selection rule for closed strings on orbifolds
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• Predicting the orbifold origin of the MSSM
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• Lepton flavor violation from SUSY with non-universal scalars
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