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An Algorithmic Method for Identifying Swiss Cheese Manifolds

Presented by: 
B Nelson Northeastern University
Date: 
Tuesday 26th June 2012 - 11:20 to 11:55
Venue: 
INI Seminar Room 1
Abstract: 
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.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons