A Zip-code for Quarks, Leptons and Higgs Bosons

Abstract

The location of matter fields and the pattern of gauge symmetry in extra dimensions are crucial ingredients for string model building. We analyze realistic MSSM models from the heterotic Z6 Mini-Landscape and extract those properties that are vital for their success. We find that Higgs bosons and the top quark are not localized in extra dimensions and live in the full D=10 dimensional space-time. The first two families of quarks and leptons, however, live at specific fixed points in extra dimensional space and exhibit a (discrete) family symmetry. Within a newly constructed Z2XZ4 orbifold framework we further elaborate on these location properties and the appearance of discrete symmetries. A similar geometrical picture emerges. This particular Zip-code for quarks, leptons and Higgs bosons seems to be of more general validity and thus a useful guideline for realistic model building in string theory.

42 pages, 8 figures. v2: published version, references added

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• (MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories
• T-duality orbifolds of heterotic Narain compactifications
• Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds
• Explore and Exploit with Heterotic Line Bundle Models
• Heterotic free fermionic and symmetric toroidal orbifold models
• Heterotic non-Abelian orbifolds
• The landscape of promising non-supersymmetric string models
• Rigour and Rigidity: Systematics on particle physics D6-brane models on Z(2)xZ(6)
• Note on the space group selection rule for closed strings on orbifolds
• Machine Learning Line Bundle Connections
• Predicting the orbifold origin of the MSSM
• Model building with the non-supersymmetric heterotic SO(16)xSO(16) string
• Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
• Higgs-portal dark matter from non-supersymmetric strings
• Generation flow in field theory and strings
• Tracing symmetries and their breakdown through phases of heterotic (2,2) compactifications