Holomorphic N=1 Special Geometry of Open--Closed Type II Strings
摘要
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
引用
@article{arxiv.hep-th/0207259,
title = {Holomorphic N=1 Special Geometry of Open--Closed Type II Strings},
author = {W. Lerche and P. Mayr and N. Warner},
journal= {arXiv preprint arXiv:hep-th/0207259},
year = {2007}
}
备注
18 pages, harvmac (b), no figures