# A note on transition in discrete gauge groups in F-theory

## TL;DR

This paper discusses a novel Higgsing transition in F-theory models with multisection geometries, revealing potential unknown aspects of F-theory compactifications involving discrete gauge groups.

## Contribution

It identifies and interprets a new physical phenomenon where gauge groups transition to discrete groups via Higgsing in multisection F-theory models, suggesting unexplored features of such compactifications.

## Key findings

- Discovery of a transition from no gauge group to a discrete  gauge group.
- Observation of a transition from  to  gauge groups via Higgsing.
- Proposed interpretations for these phenomena.

## Abstract

We observe a new puzzling physical phenomenon in F-theory on the multisection geometry, wherein a model without a gauge group transitions to another model with a discrete $\mathbb{Z}_n$ gauge group via Higgsing. This phenomenon may suggest an unknown aspect of F-theory compactification on multisection geometry lacking a global section. A possible interpretation of this puzzling physical phenomenon is proposed in this note. We also propose a possible interpretation of another unnatural physical phenomenon observed for F-theory on four-section geometry, wherein a discrete $\mathbb{Z}_2$ gauge group transitions to a discrete $\mathbb{Z}_4$ gauge group via Higgsing as described in the previous literature.