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

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

2006-05-18

arxiv.org/abs/hep-th/0605177v2

Physics

High Energy Physics

High Energy Physics - Theory

28 pages; v2 clarifications made to section 2

Scientific paper

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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