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arXiv · 0707.0838

Membrane instantons from mirror symmetry

Daniel Robles-Llana·Frank Saueressig·Ulrich Theis·Stefan Vandoren
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Abstract

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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Daniel Robles-Llana, Frank Saueressig, Ulrich Theis, Stefan Vandoren. 2007-07-05. Membrane instantons from mirror symmetry. https://arxiv.org/abs/0707.0838

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