The Geometry of M-Branes Wrapping Special Lagrangian Cycles

Details The Geometry of M-Branes Wrapping Special Lagrangian Cycles The Geometry of M-Branes Wrapping Special Lagrangian Cycles

2005-05-20

arxiv.org/abs/hep-th/0505182v2

Class.Quant.Grav.23:7245-7256,2006

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, correct version

Scientific paper

10.1088/0264-9381/23/24/004

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.

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