A benchmark model using genus-2 modular invariance generates quark mass hierarchies and CP violation via moduli VEVs near invariant points, with mass ratios vanishing in the symmetric limit and mixing angles reproduced.
Reffert,Toroidal Orbifolds: Resolutions, Orientifolds and Applications in String Phenomenology, Ph.D
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abstract
This thesis is concerned with the geometry of toroidal orbifolds and their applications in string theory. By resolving the orbifold singularities via blow-ups, one arrives at a smooth Calabi-Yau manifold. The systematic method to do so is explained in detail. Also the transition to the Orientifold quotient is explained. In the second part of this thesis, applications in string phenomenology are discussed. The applications belong to the framework of compactifications with fluxes in type IIB string theory. The first example belongs to the category of model building, flux-induced soft supersymmetry breaking parameters are worked out explicitly. The second example belongs to the subject of moduli stabilization along the lines of the KKLT proposal. Orientifold models which result from resolutions of toroidal orbifolds are discussed as possible candidate models for an explicit realization of the KKLT proposal.
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Cancellations that satisfy a holographic three-point function constraint in DGKT vacua persist across examples with h^{2,1}=0 and more complicated triple-intersection numbers.
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Quark hierarchies and CP violation from the Siegel modular group
A benchmark model using genus-2 modular invariance generates quark mass hierarchies and CP violation via moduli VEVs near invariant points, with mass ratios vanishing in the symmetric limit and mixing angles reproduced.
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A note on the holographic consistency of DGKT-type vacua with $h^{2,1}=0$
Cancellations that satisfy a holographic three-point function constraint in DGKT vacua persist across examples with h^{2,1}=0 and more complicated triple-intersection numbers.