Geometric regularizations and dual conifold transitions | Zendy

Karl Landsteiner | Zendy; Calin Iuliu Lazaroiu | Zendy

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Geometric regularizations and dual conifold transitions

Author(s) -

Karl Landsteiner,

Calin Iuliu Lazaroiu

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/04/028

Subject(s) - conifold , fibration , monodromy , superpotential , regularization (linguistics) , mathematics , pure mathematics , computation , calabi–yau manifold , mathematical analysis , mathematical physics , supersymmetry , computer science , algorithm , brane cosmology , artificial intelligence , homotopy

We consider a geometric regularization for the class of conifold transitionsrelating D-brane systems on noncompact Calabi-Yau spaces to certain fluxbackgrounds. This regularization respects the SL(2,Z) invariance of the fluxsuperpotential, and allows for computation of the relevant periods through themethod of Picard-Fuchs equations. The regularized geometry is a noncompactCalabi-Yau which can be viewed as a monodromic fibration, with the nontrivialmonodromy being induced by the regulator. It reduces to the original,non-monodromic background when the regulator is removed. Using thisregularization, we discuss the simple case of the local conifold, and show howthe relevant field-theoretic information can be extracted in this approach.Comment: 18 page

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