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Pascal Grange : Non-Lagrangian A-branes and Mirror Symmetry (Nov 4, 2004 2:45 PM)

Non-Lagrangian branes with bundles carrying a non-trivial field strength are allowed in the A-model. A stability condition involving the field strength was derived by current-matching requirement. By considering the action of Hamiltonian vector fields, I relate this condition to a moment map, thus unifying the non-Lagrangian A-branes with the Lagrangian ones in a geometric framework. This leads to an extension to bundles of previously known mirror-symmetric exchanges.

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