Higgs multiplets in heterotic GUT models

2011/08/31 by Gottfried Curio
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Bundle #Class (philosophy) #Computation #Computer science #F-theory #Fiber bundle #Grand Unified Theory #Heterotic string theory #Higgs boson #Holomorphic function #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #String (physics) #Supersymmetry #Theoretical physics #Vector bundle #hep-th

paper · pdf · doi:10.1007/jhep10(2011)102

published as JHEP10(2011)102 · 29 pages; comments and references added

openalex publication_date 2011/10/01 · arxiv created 2012/01/10 · arxiv updated 2015/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

For supersymmetric GUT models from heterotic string theory, built from a stable holomorphic SU(n) vector bundle V on a Calabi-Yau threefold X, the net amount of chiral matter can be computed by a Chern class computation. Corresponding computations for the number N_H of Higgses lead for the phenomenologically relevant cases of GUT group SU(5) or SO(10) to consideration of the bundle \La² V. In a class of bundles where everything can be computed explicitly (spectral bundles on elliptic X) we find that the computation for N_H gives a result which is in conflict with expectations. We argue that this discrepancy has its origin in the subtle geometry of the spectral data for \La² V and that taking this subtlety into account properly should resolve the problem.

Citations

• Taniguchi Lecture on Principal Bundles on Elliptic Fibrations
• Higgs doublets, split multiplets and heterotic SU(3)C×SU(2)L×U(1)Y spectra
• Five-brane superpotentials in heterotic M-theory
• Instanton moduli in string theory
• Non-perturbative vacua and particle physics in M-theory
• Nonperturbative superpotentials from membrane instantons in heterotic M-theory
• The exact MSSM spectrum from string theory
• Elliptic Calabi-Yau Threefolds withZ3×Z3Wilson Lines
• Deformations of bundles and the Standard Model
• Symmetric Vacua in Heterotic M-Theory
• Worldsheet instantons and torsion curves. Part A: direct computation
• Lectures on Heterotic M-Theory
• Yukawa Couplings in Heterotic Compactification
• Worldsheet instantons, torsion curves and non-perturbative superpotentials
• SU(4) Instantons on Calabi-Yau Threefolds withZ2 Z2Fundamental Group
• Perspectives on Pfaffians of heterotic world-sheet instantons
• Standard Model Vacua in Heterotic M-Theory
• Transitions in the web of heterotic vacua
• Invariant Bundles on B-fibered Calabi-Yau Spaces and the Standard Model