English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider Yukawa couplings generated by a configuration of intersectingseven-branes in F-theory. In configurations with a single interaction point andno fluxes turned on, the Yukawa matrices have rank one. This is no longer truewhen the three-form H-flux is turned on, which is generically the case forF-theory compactifications on Calabi-Yau fourfolds. In the presence ofH-fluxes, the Yukawa coupling is computed using a non-commutative deformationof holomorphic Chern-Simons theory (and its reduction to seven-branes) andsubsequently the rank of the Yukawa matrix changes. Such fluxes give rise to ahierarchical structure in the Yukawa matrix in F-theory GUTs of the type whichhas recently been proposed as a resolution of the flavor hierarchy problem.

Yukawa Couplings in F-theory and Non-Commutative Geometry