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An Algorithmic Method for Identifying Swiss Cheese Manifolds

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Mathematics and Applications of Branes in String and M-theory

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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