Finiteness of Flux Vacua from Geometric Transitions

Details Finiteness of Flux Vacua from Geometric Transitions Finiteness of Flux Vacua from Geometric Transitions

2006-10-31

arxiv.org/abs/hep-th/0611002v1

JHEP 0702:061,2007

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 4 figures

Scientific paper

10.1088/1126-6708/2007/02/061

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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