2007/07/05 by Daniel Robles-Llana, Frank Saueressig, Ulrich Theis +1 · 1 citation
Physics and Astronomy · #hep-th
published as Commun.Num.Theor.Phys.1:681,2007 · 24 pages, 2 figures
arxiv created 2007/07/05 · arxiv updated 2009/12/01
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.