Dual Giant Gravitons in Sasaki-Einstein Backgrounds
arXiv:hep-th/0608060 · doi:10.1016/j.nuclphysb.2006.10.008
Abstract
We study the dynamics of a BPS D3-brane wrapped on a three-sphere in AdS_5 x L, a so-called dual giant graviton, where L is a Sasakian five-manifold. The phase space of these configurations is the symplectic cone X over L, and geometric quantisation naturally produces a Hilbert space of L^2-normalisable holomorphic functions on X, whose states are dual to scalar chiral BPS operators in the dual superconformal field theory. We define classical and quantum partition functions and relate them to earlier mathematical constructions by the authors and S.-T. Yau, hep-th/0603021. In particular, a Sasaki-Einstein metric then minimises an entropy function associated with the D3-brane. Finally, we introduce a grand canonical partition function that counts multiple dual giant gravitons. This is related simply to the index-character of the above reference, and provides a method for counting multi-trace scalar BPS operators in the dual superconformal field theory.
38 pages, no figures; minor changes, reference added
Cited by in corpus (19)
- Brane Tilings
- Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
- Counting Chiral Operators in Quiver Gauge Theories
- Counting BPS operators in N=4 SYM
- Comments on 1/16 BPS Quantum States and Classical Configurations
- Symmetry-breaking vacua and baryon condensates in AdS/CFT
- Counting Giant Gravitons in AdS_3
- Counting BPS Operators in the Chiral Ring of N=2 Supersymmetric Gauge Theories or N=2 Braine Surgery
- Supersymmetric Giant Graviton Solutions in AdS_3
- E3-brane instantons and baryonic operators for D3-branes on toric singularities
- BPS Partition Functions for Quiver Gauge Theories: Counting Fermionic Operators
- Counting Wobbling Dual-Giants
- Black Hole Giants
- Master Space and Hilbert Series for N=1 Field Theories
- Asymptotic counting of BPS operators in superconformal field theories
- Free Yang-Mills vs. Toric Sasaki-Einstein
- Half BPS states in AdS_5 x Y^{p,q}
- Geometric aspects of dibaryon operators
- Mesonic Chiral Rings in Calabi-Yau Cones from Field Theory