On the geometry of quiver gauge theories (Stacking exceptional collections)
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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
28 pages; v2 clarifications made to section 2