Calabi-Yau Manifolds with Large Volume Vacua

TL;DR

This paper introduces an efficient algorithm to identify Calabi-Yau threefolds suitable for Large Volume moduli stabilization in string theory, and applies it to a broad class of manifolds, revealing many with the desired properties.

Contribution

The paper presents a new, construction-independent algorithm for testing Calabi-Yau threefolds for compatibility with Large Volume scenarios, and provides a comprehensive survey of such manifolds with small Hodge number.

Findings

418 out of 4434 manifolds have a Large Volume Limit with a single large four-cycle

The algorithm efficiently identifies suitable Calabi-Yau manifolds for string compactifications

Major extensions to the survey are currently in progress

Abstract

We describe an efficient, construction independent, algorithmic test to determine whether Calabi--Yau threefolds admit a structure compatible with the Large Volume moduli stabilization scenario of type IIB superstring theory. Using the algorithm, we scan complete intersection and toric hypersurface Calabi-Yau threefolds with $2 \leq h^{1,1} \le 4$ and deduce that 418 among 4434 manifolds have a Large Volume Limit with a single large four-cycle. We describe major extensions to this survey, which are currently underway.