Counting BPS Baryonic Operators in CFTs with Sasaki-Einstein duals

Abstract

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.

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

References in corpus (9)

• Dimer models and toric diagrams
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• Counting 1/8-BPS Dual-Giants
• Dual Giant Gravitons in Sasaki-Einstein Backgrounds
• Brane Tilings and Exceptional Collections
• Comments on the non-conformal gauge theories dual to Ypq manifolds
• Deformations of conformal theories and non-toric quiver gauge theories
• Deformations of Toric Singularities and Fractional Branes
• D-brane probes on L^{abc} Superconformal Field Theories

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