Yukawa Hierarchies in Global F-theory Models

Understand

We argue that global F-theory compactifications to four dimensions generally exhibit higher rank Yukawa matrices from multiple geometric contributions known as Yukawa points.

• The holomorphic couplings furthermore have large hierarchies for generic complex structure moduli.
• Unlike local considerations, the compact setup realizes these features all through geometry, and requires no instanton corrections.
• As an example, we consider a concrete toy model with $SU(5) \times U(1)$ gauge symmetry.