English

Membrane instantons from mirror symmetry

High Energy Physics - Theory 2008-12-18 v1

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.

Keywords

Cite

@article{arxiv.0707.0838,
  title  = {Membrane instantons from mirror symmetry},
  author = {Daniel Robles-Llana and Frank Saueressig and Ulrich Theis and Stefan Vandoren},
  journal= {arXiv preprint arXiv:0707.0838},
  year   = {2008}
}

Comments

24 pages, 2 figures

R2 v1 2026-06-21T08:55:34.377Z