Supersymmetric D-branes and calibrations on general N=1 backgrounds

Details Supersymmetric D-branes and calibrations on general N=1 backgrounds Supersymmetric D-branes and calibrations on general N=1 backgrounds

2005-07-11

arxiv.org/abs/hep-th/0507099v3

JHEP0511:048,2005

Physics

High Energy Physics

High Energy Physics - Theory

23 pages. Some improvements and clarifications, typos corrected and references added. v3: Version published in JHEP

Scientific paper

10.1088/1126-6708/2005/11/048

We study the conditions to have supersymmetric D-branes on general {\cal N}=1 backgrounds with Ramond-Ramond fluxes. These conditions can be written in terms of the two pure spinors associated to the SU(3)\times SU(3) structure on T_M\oplus T^\star_M, and can be split into two parts each involving a different pure spinor. The first involves the integrable pure spinor and requires the D-brane to wrap a generalised complex submanifold with respect to the generalised complex structure associated to it. The second contains the non-integrable pure spinor and is related to the stability of the brane. The two conditions can be rephrased as a generalised calibration condition for the brane. The results preserve the generalised mirror symmetry relating the type IIA and IIB backgrounds considered, giving further evidence for this duality.

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