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The Geometry of M-Branes Wrapping Special Lagrangian Cycles

Ansar Fayyauddin·Tasneem Zehra Husain
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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.

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Ansar Fayyauddin, Tasneem Zehra Husain. 2005-05-23. The Geometry of M-Branes Wrapping Special Lagrangian Cycles. https://doi.org/10.1088/0264-9381%2F23%2F24%2F004

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