Holomorphic N=1 Special Geometry of Open--Closed Type II Strings

Details Holomorphic N=1 Special Geometry of Open--Closed Type II Strings Holomorphic N=1 Special Geometry of Open--Closed Type II Strings

2002-07-30

arxiv.org/abs/hep-th/0207259v2

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, harvmac (b), no figures

Scientific paper

We outline a general geometric structure that underlies the N=1 superpotentials of a certain class of flux and brane configurations in type II string compactifications on Calabi-Yau threefolds. This ``holomorphic N=1 special geometry'' is in many respects comparable to, and in a sense an extension of, the familiar special geometry in N=2 supersymmetric type II string compactifications. It puts the computation of the instanton-corrected superpotential W of the four-dimensional N=1 string effective action on a very similar footing as the familiar computation of the N=2 prepotential F via mirror symmetry. In this note we present some of the main ideas and results, while more details as well as some explicit computations will appear in a companion paper

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