Dualities and phase transitions for Calabi-Yau 3folds and 4folds

TL;DR

This paper reviews dualities and phase transitions in Calabi-Yau threefolds and fourfolds across various string theories, emphasizing gauge structures, fibrations, and superpotential implications.

Contribution

It provides a comprehensive overview of dualities, fibration types, and transitions in Calabi-Yau compactifications, highlighting their effects on gauge structures and superpotentials.

Findings

Analysis of heterotic/type II duality and gauge structures

Classification of fibration types in Calabi-Yau manifolds

Implications of transitions on superpotential behavior

Abstract

We review several aspects of heterotic, type II, F-theory, and M-theory compactifications on Calabi-Yau threefolds and fourfolds. In the context of dualities we focus on the heterotic gauge structure determined by the various types of fibration relevant in the framework of heterotic/type II duality in D=4 as well as 4D F-theory. We also consider transitions between Calabi-Yau manifolds in both three and four dimensions and review some of the consequences for the behavior of the superpotential.