Conifold singularities, resumming instantons and non-perturbative mirror symmetry

Details Conifold singularities, resumming instantons and non-perturbative mirror symmetry Conifold singularities, resumming instantons and non-perturbative mirror symmetry

2007-04-18

arxiv.org/abs/0704.2229v2

JHEP 0707:018,2007

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 1 figure

Scientific paper

10.1088/1126-6708/2007/07/018

We determine the instanton corrected hypermultiplet moduli space in type IIB compactifications near a Calabi-Yau conifold point where the size of a two-cycle shrinks to zero. We show that D1-instantons resolve the conifold singularity caused by worldsheet instantons. Furthermore, by resumming the instanton series, we reproduce exactly the results obtained by Ooguri and Vafa on the type IIA side, where membrane instantons correct the hypermultiplet moduli space. Our calculations therefore establish that mirror symmetry holds non-perturbatively in the string coupling.

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