2006/08/31 by Aniket Basu, Gautam Mandal · 4 citations
Physics and Astronomy · #Astronomy #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dual (grammatical number) #Einstein #Gravitation #Graviton #Mathematical physics #Noncommutative and Quantum Gravity Theories #Particle physics #Philosophy #Physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/07/014
published as JHEP0707:014,2007 · 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
arxiv created 2007/02/28 · openalex publication_date 2007/07/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.