BPS M-Brane Geometries

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In the search for a classification of BPS backgrounds with flux, we look at geometries that arise when M-branes wrap supersymmetric cycles in Calabi-Yau manifolds. We find constraints on the differential forms in the back-reacted manifolds and discover that the calibration corresponding to the (background generating) M-brane is a co-closed form.
7 pages. Contribution to proceedings of 12th Regional Conference in Mathematical Physics, Islamabad, March 2006

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