The MSSM Spectrum from (0,2)-Deformations of the Heterotic Standard Embedding

Abstract

We construct supersymmetric compactifications of E_8 \times E_8 heterotic string theory which realise exactly the massless spectrum of the Minimal Supersymmetric Standard Model (MSSM) at low energies. The starting point is the standard embedding on a Calabi-Yau threefold which has Hodge numbers (h^11,h^21) = (1,4) and fundamental group Z_12, which gives an E_6 grand unified theory with three net chiral generations. The gauge symmetry is then broken to that of the standard model by a combination of discrete Wilson lines and continuous deformation of the gauge bundle. On eight distinct branches of the moduli space, we find stable bundles with appropriate cohomology groups to give exactly the massless spectrum of the MSSM.

37 pages including appendices

References in corpus (4)

• Heterotic Compactification, An Algorithmic Approach
• Stability Walls in Heterotic Theories
• Stability of the Minimal Heterotic Standard Model Bundle
• The Expanding Zoo of Calabi-Yau Threefolds

Cited by in corpus (31)

• Heterotic Line Bundle Standard Models
• A Comprehensive Scan for Heterotic SU(5) GUT models
• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
• Classification of symmetric toroidal orbifolds
• The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric
• Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_{\infty }$ algebra
• A Heterotic Standard Model with B-L Symmetry and a Stable Proton
• Hodge Numbers for All CICY Quotients
• Hypercharge Flux in Heterotic Compactifications
• Heterotic domain wall solutions and SU(3) structure manifolds
• Holomorphic Yukawa Couplings in Heterotic String Theory
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• Hodge Numbers for CICYs with Symmetries of Order Divisible by 4
• Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds
• Heterotic String Model Building with Monad Bundles and Reinforcement Learning
• Calabi-Yau Metrics, Energy Functionals and Machine-Learning
• Calabi-Yau metrics and string compactification
• Holomorphic Yukawa Couplings for Complete Intersection Calabi-Yau Manifolds
• Jumping Spectra and Vanishing Couplings in Heterotic Line Bundle Standard Models
• Matter Field Kahler Metric in Heterotic String Theory from Localisation
• Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
• Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications
• Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
• Discrete Symmetries of Complete Intersection Calabi-Yau Manifolds
• Free Quotients of Favorable Calabi-Yau Manifolds
• Chern-Simons Invariants and Heterotic Superpotentials
• Explicit Soft Supersymmetry Breaking in the Heterotic M-Theory $B-L$ MSSM
• Heterotic Complex Structure Moduli Stabilization for Elliptically Fibered Calabi-Yau Manifolds
• Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM
• Yukawa Textures From Singular Spectral Data
• FIMP Dark Matter in Heterotic M-Theory