G-Structures, Fluxes and Calibrations in M-Theory

Details G-Structures, Fluxes and Calibrations in M-Theory G-Structures, Fluxes and Calibrations in M-Theory

2003-06-23

arxiv.org/abs/hep-th/0306225v2

Phys.Rev.D68:085014,2003

Physics

High Energy Physics

High Energy Physics - Theory

40 pages; v2: one reference added, typos corrected

Scientific paper

10.1103/PhysRevD.68.085014

We study the most general supersymmetric warped M-theory backgrounds with non-trivial G-flux of the type R^{1,2} x M_8 and AdS_3 x M_8. We give a set of necessary and sufficient conditions for preservation of supersymmetry which are phrased in terms of G-structures and their intrinsic torsion. These equations may be interpreted as calibration conditions for a static ``dyonic'' M-brane, that is, an M5-brane with self-dual three-form turned on. When the electric flux is turned off we obtain the supersymmetry conditions and non-linear PDEs describing M5-branes wrapped on associative and special Lagrangian three-cycles in manifolds with G_2 and SU(3) structures, respectively. As an illustration of our formalism, we recover the 1/2-BPS dyonic M-brane, and also construct some new examples.

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