On a class of non-simply connected Calabi-Yau threefolds

TL;DR

This paper classifies a specific class of non-simply connected Calabi-Yau threefolds obtained as quotients of Schoen's threefolds, with implications for string theory models.

Contribution

It provides a detailed classification of non-simply connected Calabi-Yau threefolds arising from quotients of Schoen's threefolds, including automorphism group analysis.

Findings

Classification of non-simply connected Calabi-Yau threefolds

Identification of automorphism groups of rational elliptic surfaces

Potential applications in string phenomenology

Abstract

We obtain a detailed classification for a class of non-simply connected Calabi-Yau threefolds which are of potential interest for a wide range of problems in string phenomenology. These threefolds arise as quotients of Schoen's Calabi-Yau threefolds, which are fiber products over P1 of two rational elliptic surfaces. The quotient is by a freely acting finite abelian group preserving the fibrations. Our work involves a classification of restricted finite automorphism groups of rational elliptic surfaces.