Yukawa hierarchies in global F-theory models

Codimension - 3 Singularities and Yukawa Couplings in F - theory

F-theory is one of the frameworks where all the Yukawa couplings of grand unified theories are generated and their computation is possible. The Yukawa couplings of charged matter multiplets are supposed to be generated around codimension-3 singularity points of a base complex 3-fold, and that has been confirmed for the simplest type of codimension-3 singularities in recent studies. However, the...

Global F-theory GUTs

We construct global F-theory GUT models on del Pezzo surfaces in compact Calabi-Yau fourfolds realized as complete intersections of two hypersurface constraints. The intersections of the GUT brane and the flavour branes as well as the gauge flux are described by the spectral cover construction. We consider a split S[U(4)×U(1)X ] spectral cover, which allows for the phenomenologically relevant Y...

Global Knot Theory in F

Compactification with Flux and Yukawa Hierarchies

Flux compactifications of M theory on certain G 2-manifolds have vacua in which all moduli are determined. These vacua have discrete parameters-the flux quanta. Small changes in these quanta produce small changes in the moduli and these can lead to large changes in the Yukawa couplings between Higgses, quarks and leptons. We argue that a large number of vacua exist with a wide variety of Yukawa...

Gauge - Yukawa Unified Models

Gauge-Yukawa Unification (GYU) is obtained in GUTs by searching for renormalization group invariant relations among gauge and Yukawa couplings beyond the unification scale. Of particular interest are two supersymmetric GUTs, the finite and the minimal SU (5) models. Both models provided us,among others,with predictions of the top quark mass which so far have passed successfully the tests of pro...