D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy
High Energy Physics - Theory
2010-04-05 v2 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0104254,
title = {D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy},
author = {Xenia de la Ossa and Bogdan Florea and Harald Skarke},
journal= {arXiv preprint arXiv:hep-th/0104254},
year = {2010}
}
Comments
40 pp, substantial revisions