Dual giant gravitons in AdS${}_m$ $\times$ Y${}^n$ (Sasaki-Einstein)

Abstract

We consider BPS motion of dual giant gravitons on Ad$S_5\times Y^5$ where $Y^5$ represents a five-dimensional Sasaki-Einstein manifold. We find that the phase space for the BPS dual giant gravitons is symplectically isomorphic to the Calabi-Yau cone over $Y^5$, with the Kähler form identified with the symplectic form. The quantization of the dual giants therefore coincides with the Kähler quantization of the cone which leads to an explicit correspondence between holomorphic wavefunctions of dual giants and gauge-invariant operators of the boundary theory. We extend the discussion to dual giants in $Ad{S}_4\times Y^7$ where $Y^7$ is a seven-dimensional Sasaki-Einstein manifold; for special motions the phase space of the dual giants is symplectically isomorphic to the eight-dimensional Calabi-Yau cone.

14 pages. (v2) typo's corrected; factors of AdS radius reinstated for clarity; remarks about dual giant wavefunctions in T^{1,1} expanded and put in a new subsection

References in corpus (4)

• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• Dual Giant Gravitons in Sasaki-Einstein Backgrounds
• From Gravitons to Giants
• Bosonization of non-relativistic fermions on a circle: Tomonaga's problem revisited

Cited by in corpus (14)

• Counting Gauge Invariants: the Plethystic Program
• Counting Chiral Operators in Quiver Gauge Theories
• Counting BPS operators in N=4 SYM
• Comments on 1/16 BPS Quantum States and Classical Configurations
• Counting Giant Gravitons in AdS_3
• Supersymmetric States in M5/M2 CFTs
• Supersymmetric Giant Graviton Solutions in AdS_3
• BPS Partition Functions for Quiver Gauge Theories: Counting Fermionic Operators
• Counting Wobbling Dual-Giants
• Semi-classical Strings in Sasaki-Einstein Manifolds
• Master Space and Hilbert Series for N=1 Field Theories
• Free Yang-Mills vs. Toric Sasaki-Einstein
• Half BPS states in AdS_5 x Y^{p,q}
• More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3