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On the geometry of quiver gauge theories (Stacking exceptional collections)

Christopher P. Herzog·Robert L. Karp
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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.

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Christopher P. Herzog, Robert L. Karp. 2008-02-03. On the geometry of quiver gauge theories (Stacking exceptional collections). https://arxiv.org/abs/hep-th/0605177

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