New Fourfolds from F-Theory

TL;DR

This paper constructs new fourfolds with elliptic fibrations using Borcea-Voisin's method, including Calabi-Yau examples relevant for F-Theory compactifications, and also presents a novel Calabi-Yau threefold with specific Hodge numbers.

Contribution

It introduces new fourfolds containing del Pezzo surfaces via Borcea-Voisin's construction, expanding the class of Calabi-Yau varieties for string theory applications.

Findings

New fourfold examples with elliptic fibrations and del Pezzo surfaces.

A novel Calabi-Yau threefold with Hodge numbers (10,10).

Relevance for F-Theory compactifications.

Abstract

In this paper, we apply Borcea-Voisin's construction and give new examples of fourfolds containing a del Pezzo surface of degree six, which admit an elliptic fibration on a smooth threefold. Some of these fourfolds are Calabi-Yau varieties, which are relevant for the $N=1$ compactification of Type IIB string theory known as $F$-Theory. As a by-product, we provide a new example of a Calabi--Yau threefold with Hodge numbers $h^{1,1}=h^{2,1}=10$.