On the geometry of quiver gauge theories (Stacking exceptional collections)
Christopher P. Herzog, Robert L. Karp
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 Yp,q singularity, and also prove that this collection is simple.
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