Completing the Web of $Z_3$ - Quotients of Complete Intersection Calabi-Yau Manifolds

TL;DR

This paper completes the classification of smooth $Z_3$-quotients of complete intersection Calabi-Yau threefolds by including six newly discovered manifolds, demonstrating their connectivity via conifold transitions.

Contribution

It identifies six new smooth $Z_3$-quotient Calabi-Yau manifolds missed in previous work and shows they connect the existing web through conifold transitions.

Findings

Six new $Z_3$-quotient manifolds identified

The web of manifolds is connected by conifold transitions

Completes the classification of smooth $Z_3$-quotients

Abstract

We complete the study of smooth $Z_3$-quotients of complete intersection Calabi-Yau threefolds by discussing the six new manifolds that admit free $Z_3$ actions that were discovered discovered recently by Braun. These manifolds were missed in an earlier work and complete the web of smooth $Z_3$-quotients in a nice way. We discuss the transitions between these manifolds and include also the other manifolds of the web. This leads to the conclusion that the web of $Z_3$-free quotients of complete intersection Calabi-Yau threefolds is connected by conifold transitions.