Membrane instantons from mirror symmetry

Daniel Robles-Llana; Frank Saueressig; Stefan Vandoren; Ulrich Theis

Membrane instantons from mirror symmetry

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

Membrane instantons from mirror symmetry

Daniel Robles-Llana , Frank Saueressig , Ulrich Theis , Stefan Vandoren This is my paper

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keywords mirrorcalabi-yaucorrectionsinstantonsmembranesymmetryactionarising

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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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