Five-brane superpotentials, blow-up geometries and SU(3) structure manifolds

Thomas W. Grimm*, Albrecht Klemm, Denis Klevers

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We investigate the dynamics of space-time filling five-branes wrapped on curves in heterotic and orientifold Calabi-Yau compactifications. We first study the leading N = 1 scalar potential on the infinite deformation space of the brane-curve around a supersymmetric configuration. The higher order potential is also determined by a brane superpotential which we compute for a subset of light deformations. We argue that these deformations map to new complex structure deformations of a non-Calabi-Yau manifold which is obtained by blowing up the brane-curve into a four-cycle and by replacing the brane by background fluxes. This translates the original brane-bulk system into a unifying geometrical formulation. Using this blow-up geometry we compute the complete set of open-closed Picard- Fuchs differential equations and identify the brane superpotential at special points in the field space for five-branes in toric Calabi-Yau hypersurfaces. This has an interpretation in open mirror symmetry and enables us to list compact disk instanton invariants. As a first step towards promoting the blow-up geometry to a supersymmetric heterotic background we propose a non-Kähler SU(3) structure and an identification of the three-form flux.

Original languageEnglish
Article number113
JournalJournal of High Energy Physics
Volume2011
Issue number5
DOIs
Publication statusPublished - 2011

Keywords

  • D-branes
  • Heterotic strings
  • String duality
  • Superstring vacua
  • Superstrings

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