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Branes and Calibrated Geometries
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The fivebrane worldvolume theory in eleven dimensions is known to contain BPS threebrane solitons which can also be interpreted as a fivebrane whose worldvolume is wrapped around a Riemann surface. By considering configurations of intersecting fivebranes and hence intersecting threebrane solitons, we determine the Bogomol'nyi equations for more general BPS configurations. We obtain differential equations, generalising Cauchy-Riemann equations, which imply that the worldvolume of the fivebrane is wrapped around a calibrated geometry.
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Special Holonomy Manifolds, Domain Walls, Intersecting Branes and T-folds
The Gibbons-Lu-Pope-Stelle special holonomy domain wall metrics are T-dual to intersecting brane systems, yielding new multi-function special holonomy metrics and T-fold backgrounds.
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