A Comment on BPS States in F-theory in 8 Dimensions

TL;DR

This paper investigates BPS states and gauge symmetry enhancements in F-theory on K3, revealing stable open string configurations and recovering known gauge groups through non-perturbative methods.

Contribution

It provides a new perspective on gauge symmetry enhancements by analyzing open string configurations connecting 7-branes in F-theory on K3.

Findings

Identification of open string configurations representing BPS states.

Recovery of Dn and En gauge groups from singularity analysis.

Examples of non-perturbative realizations of An gauge groups.

Abstract

We study some aspects of enhanced gauge symmetries in F-theory compactified on K3. We find open string configurations connecting various 7-branes which represent stable BPS states. In this approach we recover $D_n$ and $E_n$ gauge groups previously found from an analysis of sigularities of the moduli space of elliptically fibered K3 manifolds as well as examples of non-perturbative realizations of $A_n$ groups.