Yukawa Textures From Singular Spectral Data
arXiv:2107.07830 · doi:10.1007/JHEP11(2021)131
Abstract
The Yukawa textures of effective heterotic models are studied by using singular spectral data. One advantage of this approach is that it is possible to dissect the cohomologies of the bundles into smaller parts and identify the pieces that contain the zero modes, which can potentially have non-zero Yukawa couplings. Another advantage is the manifest relationship between the Yukawa textures in heterotic models and local F-theory models in terms of fields living in bulk or localized inside the 7-branes. We only work with Weierstrass elliptically fibered Calabi-Yau manifolds here. The idea for generalizing this approach to every elliptically fibered Calabi-Yau with rational sections is given at the end of this paper.
arXiv comment61 pages, 12 figures, 3 tables
References in corpus (65)
- Vector Bundles And F Theory
- GUTs and Exceptional Branes in F-theory - I
- An SU(5) Heterotic Standard Model
- A Heterotic Standard Model
- Heterotic Line Bundle Standard Models
- T-Branes and Monodromy
- The Exact MSSM Spectrum from String Theory
- Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
- New Aspects of Heterotic--F Theory Duality
- Codimension-3 Singularities and Yukawa Couplings in F-theory
- Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
- Vector Bundles over Elliptic Fibrations
- A Standard Model from the E8 x E8 Heterotic Superstring
- Holomorphic Vector Bundles and Non-Perturbative Vacua in M-Theory
- The Particle Spectrum of Heterotic Compactifications
- A Comprehensive Scan for Heterotic SU(5) GUT models
- Monad Bundles in Heterotic String Compactifications
- Standard-Model Bundles on Non-Simply Connected Calabi--Yau Threefolds
- T-Branes and Geometry
- Massless Spectra of Three Generation U(N) Heterotic String Vacua
- Numerical Calabi-Yau metrics
- Stability Walls in Heterotic Theories
- Tri-linear Couplings in an Heterotic Minimal Supersymmetric Standard Model
- Fibrations in CICY Threefolds
- Calabi-Yau Metrics for Quotients and Complete Intersections
- Numerical Ricci-flat metrics on K3
- Three-Family Particle Physics Models from Global F-theory Compactifications
- The Spectra of Heterotic Standard Model Vacua
- Yukawa Couplings in Heterotic Standard Models
- Eigenvalues and Eigenfunctions of the Scalar Laplace Operator on Calabi-Yau Manifolds
- The Edge Of Supersymmetry: Stability Walls in Heterotic Theory
- Machine learning Calabi-Yau metrics
- Elliptic Calabi-Yau Threefolds with Z_3 x Z_3 Wilson Lines
- Moduli Dependent Spectra of Heterotic Compactifications
- Spectra of D-branes with Higgs vevs
- Some Three Generation (0,2) Calabi-Yau Models
- Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds
- Yukawa Couplings in Heterotic Compactification
- Yukawa Textures From Heterotic Stability Walls
- Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic
- Counting String Theory Standard Models
- Numerical Hermitian Yang-Mills Connections and Vector Bundle Stability in Heterotic Theories
- The MSSM Spectrum from (0,2)-Deformations of the Heterotic Standard Embedding
- T-branes and Yukawa Couplings
- Moduli Dependent mu-Terms in a Heterotic Standard Model
- Numerical Hermitian Yang-Mills Connections and Kahler Cone Substructure
- An Abundance of Heterotic Vacua
- Holomorphic Yukawa Couplings in Heterotic String Theory
- Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds
- Heterotic Model Building: 16 Special Manifolds
- Heterotic and M-theory Compactifications for String Phenomenology
- On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds
- Numerical Metrics, Curvature Expansions and Calabi-Yau Manifolds
- On Singular Fibres in F-Theory
- F-theory and linear sigma models
- 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
- Generalized Vanishing Theorems for Yukawa Couplings in Heterotic Compactifications
- Heterotic/Heterotic and Heterotic/F-theory Duality
- Heterotic Line Bundle Models on Generalized Complete Intersection Calabi Yau Manifolds
- Yukawa Unification in Heterotic String Theory
- Moduli restriction and Chiral Matter in Heterotic String Compactifications
- Extending the Geometry of Heterotic Spectral Cover Constructions
- Heterotic Complex Structure Moduli Stabilization for Elliptically Fibered Calabi-Yau Manifolds