Exceptional collections and D-branes probing toric singularities

Details Exceptional collections and D-branes probing toric singularities Exceptional collections and D-branes probing toric singularities

2005-07-18

arxiv.org/abs/hep-th/0507175v3

JHEP 0602 (2006) 061

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, 6 figures; v2 refs added; v3 published version

Scientific paper

10.1088/1126-6708/2006/02/061

We demonstrate that a strongly exceptional collection on a singular toric surface can be used to derive the gauge theory on a stack of D3-branes probing the Calabi-Yau singularity caused by the surface shrinking to zero size. A strongly exceptional collection, i.e., an ordered set of sheaves satisfying special mapping properties, gives a convenient basis of D-branes. We find such collections and analyze the gauge theories for weighted projective spaces, and many of the Y^{p,q} and L^{p,q,r} spaces. In particular, we prove the strong exceptionality for all p in the Y^{p,p-1} case, and similarly for the Y^{p,p-2r} case.

Affiliated with

Also associated with

No associations

Rating

Exceptional collections and D-branes probing toric singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exceptional collections and D-branes probing toric singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exceptional collections and D-branes probing toric singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-287667