Dual giant gravitons in AdSm × Yn (Sasaki-Einstein)

Basu, Aniket ; Mandal, Gautam (2007) Dual giant gravitons in AdSm × Yn (Sasaki-Einstein) Journal of High Energy Physics, 2007 . Article ID 014. ISSN 1126-6708

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Official URL: http://iopscience.iop.org/article/10.1088/1126-670...

Related URL: http://dx.doi.org/10.1088/1126-6708/2007/07/014


We consider BPS motion of dual giant gravitons on AdS5 × Y5 where Y5 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 Y5, 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 AdS4 × Y7 where Y7 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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ID Code:103573
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