Tachyon condensation and D-branes in generalized geometries

Details Tachyon condensation and D-branes in generalized geometries Tachyon condensation and D-branes in generalized geometries

2005-12-15

arxiv.org/abs/hep-th/0512185v1

Nucl.Phys.B741:199-214,2006

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX

Scientific paper

10.1016/j.nuclphysb.2006.02.024

In generalized complex geometry, D-branes can be seen as maximally isotropic spaces and are thus in one-to-one correspondence with pure spinors. When considered on the sum of the tangent and cotangent bundles to the ambient space, all the branes are of the same dimension and the transverse scalars enter on par with the gauge fields; the split between the longitudinal and transverse directions is done in accordance with the type of the pure spinor corresponding to the given D-brane. We elaborate on the relation of this picture to the T-duality transformations and stability of D-branes. A discussion of tachyon condensation in the context of the generalized complex geometry is given, linking the description of D-branes as generalized complex submanifolds to their K-theoretic classification.

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