Global F-theory Models: Instantons and Gauge Dynamics

TL;DR

This paper explores F-theory gauge dynamics, especially quantum effects absent in Type IIB, and introduces an algorithm for computing line bundle cohomology on toric varieties, aiding the study of global F-theory models.

Contribution

It provides a new algorithm for cohomology calculations and applies it to analyze a compact F-theory GUT model with non-perturbative Yukawa coupling generation.

Findings

Quantum splitting affects F-theory gauge dynamics.

Algorithm enables explicit zero mode counting in F-theory.

Constructed a GUT model with non-perturbative top Yukawa coupling.

Abstract

We elucidate certain aspects of F-theory gauge dynamics, due to quantum splitting of certain brane stacks, which are absent in the Type IIB limit. We also provide a working implementation of an algorithm for computing cohomology of line bundles on arbitrary toric varieties. This should be of general use for studying the physics of global Type IIB and F-theory models, in particular for the explicit counting of zero modes for rigid F-theory instantons which contribute to charged matter couplings. We illustrate the discussion by constructing and analyzing in detail a compact F-theory GUT model in which a D-brane instanton generates the top Yukawa coupling non-perturbatively.