English

The Geometry of M-Branes Wrapping Special Lagrangian Cycles

High Energy Physics - Theory 2009-11-11 v2

Abstract

We characterize the geometry produced by M5-branes wrapping a Special Lagrangian 3-cycle in a Calabi-Yau 3-fold. The presence of the brane replaces the the Calabi-Yau by a real manifold with an almost complex structure. We show that, in this classification, a distinguished (1,1) form as well as a globally defined (3,0) form play an important role. The requirements of supersymmetry preservation impose constraints on these structures which can be used to classify the background.

Keywords

Cite

@article{arxiv.hep-th/0505182,
  title  = {The Geometry of M-Branes Wrapping Special Lagrangian Cycles},
  author = {Ansar Fayyauddin and Tasneem Zehra Husain},
  journal= {arXiv preprint arXiv:hep-th/0505182},
  year   = {2009}
}

Comments

17 pages, correct version