On the geometry of quiver gauge theories (Stacking exceptional collections)
arXiv:hep-th/0605177
Abstract
In this paper we advance the program of using exceptional collections to understand the gauge theory description of a D-brane probing a Calabi-Yau singularity. To this end, we strengthen the connection between strong exceptional collections and fractional branes. To demonstrate our ideas, we derive a strong exceptional collection for every Y^{p,q} singularity, and also prove that this collection is simple.
28 pages; v2 clarifications made to section 2