# F-Theory on Quotients of Elliptic Calabi-Yau Threefolds

## TL;DR

This paper explores how quotienting elliptic Calabi-Yau threefolds by discrete groups yields new geometries and 6D F-theory models with diverse discrete gauge symmetries, enhancing understanding of string compactifications.

## Contribution

It introduces a method to construct F-theory models with discrete symmetries by quotienting elliptic Calabi-Yau threefolds, providing new examples with complex gauge structures.

## Key findings

- Constructed F-theory models with Z6 discrete symmetry.
- Demonstrated how quotient geometries determine 6D physics.
- Provided explicit examples of discrete gauge groups in F-theory.

## Abstract

In this work we consider quotients of elliptically fibered Calabi-Yau threefolds by freely acting discrete groups and the associated physics of F-theory compactifications on such backgrounds. The process of quotienting a Calabi-Yau geometry produces not only new genus one fibered manifolds, but also new effective 6-dimensional physics. These theories can be uniquely characterized by the much simpler covering space geometry and the symmetry action on it. We use this method to construct examples of F-theory models with an array of discrete gauge groups and non-trivial monodromies, including an example with Z6 discrete symmetry.