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Conifold singularities, resumming instantons and non-perturbative mirror symmetry

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arxiv 0704.2229 v2 pith:DQDJQISM submitted 2007-04-18 hep-th

Frank Saueressig , Stefan Vandoren This is my paper · ORCID
classification hep-th
keywords conifoldinstantonshypermultipletinstantonmirrormoduliresummingspace
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

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  1. Towards the Non-Perturbative Completion of 4d N=1 Effective Theories of Gravity

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    Small-volume regimes of flop curves in 4d N=1 F-theory require non-perturbative states—blow-up moduli and D3-string excitations—to complete the locally enhanced N=2 spectrum.

  2. Testing F-theory GUTs with the Axiverse

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    In F-theory GUTs, non-universal ALPs induced by hypercharge flux satisfy g_aγ/m_a well below the QCD axion prediction when gauge couplings unify near the string scale.

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