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

Luca Martucci·Paul Smyth
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Abstract

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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Luca Martucci, Paul Smyth. 2006-01-11. Supersymmetric D-branes and calibrations on general N=1 backgrounds. https://doi.org/10.1088/1126-6708%2F2005%2F11%2F048

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