Calibrations, Torsion Classes and Wrapped M-Branes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1103/PhysRevD.73.106007

The present work has two goals. The first is to complete the classification of geometries in terms of torsion classes of M-branes wrapping cycles of a Calabi-Yau. The second goal is to give insight into the physical meaning of the torsion class constraints. We accomplish both tasks by defining new energy minimizing calibrations in M-brane backgrounds. When fluxes are turned on, it is these calibrations that are relevant, rather than those which had previously been defined in the context of purely geometric backgrounds.

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