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

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.

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

References in corpus (8)

• Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
• Supersymmetric AdS(4) compactifications of IIA supergravity
• Dirac actions for D-branes on backgrounds with fluxes
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• Generalised $G_2$-structures and type IIB superstrings
• Branes on Generalized Calibrated Submanifolds
• Topological mirror symmetry with fluxes
• Generalized complex geometry, generalized branes and the Hitchin sigma model

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