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

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

2006-08-14

arxiv.org/abs/hep-th/0608093v2

JHEP0707:014,2007

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2007/07/014

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 K\"{a}hler form identified with the symplectic form. The quantization of the dual giants therefore coincides with the K\"{a}hler 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 $AdS_4 \times Y^7$ 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.

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