Deformations of calibrated D-branes in flux generalized complex manifolds
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.
Keywords
Cite
@article{arxiv.hep-th/0610044,
title = {Deformations of calibrated D-branes in flux generalized complex manifolds},
author = {Paul Koerber and Luca Martucci},
journal= {arXiv preprint arXiv:hep-th/0610044},
year = {2008}
}
Comments
52 pages, added references, added comment on ellipticity in appendix B, made minor changes according to instructions referee JHEP