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arXiv · hep-th/0611002

Finiteness of Flux Vacua from Geometric Transitions

Gonzalo Torroba
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Abstract

We argue for finiteness of flux vacua around type IIB CY singularities by computing their gauge theory duals. This leads us to propose a geometric transition where the compact 3-cycles support both RR and NS flux, while the open string side contains 5-brane bound states. By a suitable combination of S duality and symplectic transformations, both sides are shown to have the same IR physics. The finiteness then follows from a holomorphic change of couplings in the gauge side. As a nontrivial test, we compute the number of vacua on both sides for the conifold and the Argyres-Douglas point, and we find perfect agreement.

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Gonzalo Torroba. 2006-10-31. Finiteness of Flux Vacua from Geometric Transitions. https://doi.org/10.1088/1126-6708%2F2007%2F02%2F061

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