Flux and Instanton Effects in Local F-theory Models and Hierarchical Fermion Masses

Understand

We study the deformation induced by fluxes and instanton effects on Yukawa couplings involving 7-brane intersections in local F-theory constructions.

• In the absence of non-perturbative effects, holomorphic Yukawa couplings do not depend on open string fluxes.
• On the other hand instanton effects (or gaugino condensation on distant 7-branes) do induce corrections to the Yukawas.
• The leading order effect may also be captured by the presence of closed string (1,2) IASD fluxes, which give rise to a non-commutative structure.