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A geometrical form of the supersymmetry conditions for D-branes on arbitrary type II supersymmetric backgrounds is derived, as well as the associated BPS bounds.
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P. Koerber, L. Martucci, “D-branes on AdS flux compactifications,” JHEP 0801
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L. Martucci, “On moduli and effective theory of N=1 warped flux compactifications,” JHEP 0905
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2010
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