Counting BPS Baryonic Operators in CFTs with Sasaki-Einstein duals

Details Counting BPS Baryonic Operators in CFTs with Sasaki-Einstein duals Counting BPS Baryonic Operators in CFTs with Sasaki-Einstein duals

2006-11-21

arxiv.org/abs/hep-th/0611229v3

JHEP 0706:069,2007

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 10 figures; comments and clarifications added, published version

Scientific paper

10.1088/1126-6708/2007/06/069

We study supersymmetric D3 brane configurations wrapping internal cycles of type II backgrounds AdS(5) x H for a generic Sasaki-Einstein manifold H. These configurations correspond to BPS baryonic operators in the dual quiver gauge theory. In each sector with given baryonic charge, we write explicit partition functions counting all the BPS operators according to their flavor and R-charge. We also show how to extract geometrical information about H from the partition functions; in particular, we give general formulae for computing volumes of three cycles in H.

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