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Membrane instantons from mirror symmetry

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arxiv 0707.0838 v1 pith:5U2F45UB submitted 2007-07-05 hep-th

classification hep-th
keywords mirrorcalabi-yaucorrectionsinstantonsmembranesymmetryactionarising
verification ladder T0 review T1 audit T2 compute T3 formal
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We use mirror symmetry to determine and sum up a class of membrane instanton corrections to the hypermultiplet moduli space metric arising in Calabi-Yau threefold compactifications of type IIA strings. These corrections are mirror to the D1 and D(-1)-brane instantons on the IIB side and are given explicitly in terms of a single function in projective superspace. The corresponding four-dimensional effective action is completely fixed by the Euler number and the genus zero Gopakumar-Vafa invariants of the mirror Calabi-Yau.

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Cited by 3 Pith papers

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  3. Coexisting Flux String Vacua from Numerical K\"ahler Moduli Stabilisation

    hep-th 2025-07 conditional novelty 5.0 of 10

    Numerical scans of Type IIB compactifications find single scalar potentials containing coexisting KKLT/LVS and Kahler-uplifted/LVS minima, including AdS, Minkowski, and dS pairs.

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