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arXiv · hep-th/0303054

Geometric regularizations and dual conifold transitions

K. Landsteiner·C. I. Lazaroiu
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Abstract

We consider a geometric regularization for the class of conifold transitions relating D-brane systems on noncompact Calabi-Yau spaces to certain flux backgrounds. This regularization respects the SL(2,Z) invariance of the flux superpotential, and allows for computation of the relevant periods through the method of Picard-Fuchs equations. The regularized geometry is a noncompact Calabi-Yau which can be viewed as a monodromic fibration, with the nontrivial monodromy being induced by the regulator. It reduces to the original, non-monodromic background when the regulator is removed. Using this regularization, we discuss the simple case of the local conifold, and show how the relevant field-theoretic information can be extracted in this approach.

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K. Landsteiner, C. I. Lazaroiu. 2003-03-07. Geometric regularizations and dual conifold transitions. https://doi.org/10.1088/1126-6708%2F2003%2F04%2F028

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