Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions

Details Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions

2009-11-03

arxiv.org/abs/0911.0708v2

Adv.Theor.Math.Phys.14:965-990, 2010

Physics

High Energy Physics

High Energy Physics - Theory

PDFLaTeX. 22 pages, 7 figures. v2: References updated and introduction slightly modified

Scientific paper

The moduli space of multiply-connected Calabi-Yau threefolds is shown to contain codimension-one loci on which the corresponding variety develops a certain type of hyperquotient singularity. These have local descriptions as discrete quotients of the conifold, and are referred to here as hyperconifolds. In many (or possibly all) cases such a singularity can be resolved to yield a distinct compact Calabi-Yau manifold. These considerations therefore provide a method for embedding an interesting class of singularities in compact Calabi-Yau varieties, and for constructing new Calabi-Yau manifolds. It is unclear whether the transitions described can be realised in string theory.

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