Advances in Theoretical and Mathematical Physics

Volume 13 (2009)

Number 3

On the geometry of quiver gauge theories

Pages: 599 – 636



Christopher P. Herzog (Physics Department, Princeton University)

Robert L. Karp (Dept. of Systems Biology, Harvard Medical School)


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.

Published 1 January 2009