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Membrane instantons from mirror symmetry

Authors
  • Robles-Llana, Daniel
  • Saueressig, Frank
  • Theis, Ulrich
  • Vandoren, Stefan
Type
Published Article
Publication Date
Jul 05, 2007
Submission Date
Jul 05, 2007
Identifiers
arXiv ID: 0707.0838
Source
arXiv
License
Unknown
External links

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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