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arXiv · hep-th/0610044

Deformations of calibrated D-branes in flux generalized complex manifolds

Paul Koerber·Luca Martucci
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Abstract

We study massless deformations of generalized calibrated cycles, which describe, in the language of generalized complex geometry, supersymmetric D-branes in N=1 supersymmetric compactifications with fluxes. We find that the deformations are classified by the first cohomology group of a Lie algebroid canonically associated to the generalized calibrated cycle, seen as a generalized complex submanifold with respect to the integrable generalized complex structure of the bulk. We provide examples in the SU(3) structure case and in a `genuine' generalized complex structure case. We discuss cases of lifting of massless modes due to world-volume fluxes, background fluxes and a generalized complex structure that changes type.

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Paul Koerber, Luca Martucci. 2006-12-18. Deformations of calibrated D-branes in flux generalized complex manifolds. https://doi.org/10.1088/1126-6708%2F2006%2F12%2F062

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