D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy

Details D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy

2001-04-29

arxiv.org/abs/hep-th/0104254v2

Nucl.Phys. B644 (2002) 170-200

Physics

High Energy Physics

High Energy Physics - Theory

40 pp, substantial revisions

Scientific paper

10.1016/S0550-3213(02)00762-9

We study D-branes on smooth noncompact toric Calabi-Yau manifolds that are resolutions of abelian orbifold singularities. Such a space has a distinguished basis {S_i} for the compactly supported K-theory. Using local mirror symmetry we demonstrate that the S_i have simple transformation properties under monodromy; in particular, they are the objects that generate monodromy around the principal component of the discriminant locus. One of our examples, the toric resolution of C^3/(Z_2 x Z_2), is a three parameter model for which we are able to give an explicit solution of the GKZ system.

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