Matter wave functions and Yukawa couplings in F-theory Grand Unification

Understand

We study the local structure of zero mode wave functions of chiral matter fields in F-theory unification.

• We solve the differential equations for the zero modes derived from local Higgsing in the 8-dimensional parent action of F-theory 7-branes.
• The solutions are found as expansions both in powers and derivatives of the magnetic fluxes.
• Yukawa couplings are given by an overlap integral of the three wave functions involved in the interaction and can be calculated analytically.