Holomorphic N=1 special geometry of open - closed type II strings

Jul, 2002
18 pages
e-Print:
Report number:
  • CERN-TH-2002-174

Citations per year

20022007201220172022024681012
Abstract:
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
  • string model
  • membrane model
  • flux
  • space: Calabi-Yau
  • superpotential
  • effective action
  • geometry
  • field theory: topological
  • compactification: Calabi-Yau
  • cohomology