Holomorphic Yukawa couplings in heterotic string theory

@article{Blesneag2015HolomorphicYC,
  title={Holomorphic Yukawa couplings in heterotic string theory},
  author={Stefan Blesneag and Evgeny I. Buchbinder and Philip Candelas and Andr{\'e} Lukas},
  journal={Journal of High Energy Physics},
  year={2015},
  volume={2016},
  pages={1-51}
}
A bstractWe develop techniques, based on differential geometry, to compute holomorphic Yukawa couplings for heterotic line bundle models on Calabi-Yau manifolds defined as complete intersections in projective spaces. It is shown explicitly how these techniques relate to algebraic methods for computing holomorphic Yukawa couplings. We apply our methods to various examples and evaluate the holomorphic Yukawa couplings explicitly as functions of the complex structure moduli. It is shown that the… 
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References

SHOWING 1-10 OF 41 REFERENCES
Yukawa couplings in heterotic standard models
In this paper, we present a formalism for computing the Yukawa couplings in heterotic standard models. This is accomplished by calculating the relevant triple products of cohomology groups, leading…
Monad bundles in heterotic string compactifications
In this paper, we study positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E8 × E8 heterotic string compactifications. We show that the class of such…
Heterotic Compactification, An Algorithmic Approach
We approach string phenomenology from the perspective of computational algebraic geometry, by providing new and efficient techniques for proving stability and calculating particle spectra in…
A standard model from the E(8) x E(8) heterotic superstring
In a previous paper, we introduced a heterotic standard model and discussed its basic properties. This vacuum has the spectrum of the MSSM with one additional pair of Higgs-Higgs conjugate fields and…
Yukawa textures from heterotic stability walls
A holomorphic vector bundle on a Calabi-Yau threefold, X, with h1,1(X) ≥ 2 can have regions of its Kähler cone where it is slope-stable, that is, where the four-dimensional theory is $ \mathcal{N} =…
Tri-linear couplings in an heterotic minimal supersymmetric standard model
Heterotic line bundle standard models
A bstractIn a previous publication, arXiv:1106.4804, we have found 200 models from heterotic Calabi-Yau compactifications with line bundles, which lead to standard models after taking appropriate…
The MSSM spectrum from (0,2)-deformations of the heterotic standard embedding
A bstractWe construct supersymmetric compactifications of E8×E8 heterotic string theory which realise exactly the massless spectrum of the Minimal Supersymmetric Standard Model (MSSM) at low…
The moduli space of heterotic line bundle models: a case study for the tetra-quadric
A bstractIt has recently been realised that polystable, holomorphic sums of line bundles over smooth Calabi-Yau three-folds provide a fertile ground for heterotic model building. Large numbers of…
Calabi‐Yau Manifolds: A Bestiary for Physicists
Calabi-Yau spaces are complex spaces with a vanishing first Chern class, or equivalently, with trivial canonical bundle (canonical class). They are used to construct possibly realistic (super)string…
...
...