Advances in Theoretical and Mathematical Physics

Volume 13 (2009)

Number 3

On the geometry of quiver gauge theories

Pages: 599 – 636

DOI: http://dx.doi.org/10.4310/ATMP.2009.v13.n3.a1

Authors

Christopher P. Herzog (Physics Department, Princeton University)

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

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.

Full Text (PDF format)