Yukawa textures from singular spectral data

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 withWeierstrass 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.

Automated summary

The Yukawa textures of effective heterotic models are studied by using singular spectral data, allowing for the dissection of the cohomologies of bundles to identify zero modes with potential non-zero Yukawa couplings. Another advantage is the clear relationship between Yukawa textures in heterotic models and local F-theory models. The idea of generalizing this approach to every elliptically fibered Calabi-Yau with rational sections is proposed at the end of the paper.