Geometric regularizations and dual conifold transitions

Details Geometric regularizations and dual conifold transitions Geometric regularizations and dual conifold transitions

2003-03-07

arxiv.org/abs/hep-th/0303054v1

JHEP 0304:028,2003

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1088/1126-6708/2003/04/028

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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