An Algorithmic Method for Identifying Swiss Cheese Manifolds
Seminar Room 1, Newton Institute
We describe an efficient algorithmic test for the Swiss Cheese property in Calabi-Yau threefolds, which is typically considered in the context of moduli stabilization in Large Volume Scenarios of type~IIB flux compactifications of string theory. The algorithm recasts the issue of moduli stabilization at large volume into the language of algebraic geometry, thereby allowing for a large scale computational analysis. Preliminary results of a scan of Calabi-Yau three folds with small Hodge numbers will be presented.