Geometry Quantization from Supergravity: the case of "Bubbling AdS"

Details Geometry Quantization from Supergravity: the case of "Bubbling AdS" Geometry Quantization from Supergravity: the case of "Bubbling AdS"

2005-08-08

arxiv.org/abs/hep-th/0508059v4

JHEP0508:096,2005

Physics

High Energy Physics

High Energy Physics - Theory

30 pages + appendix, 4 figures, JHEP3; v4: a reference added

Scientific paper

10.1088/1126-6708/2005/08/096

We consider the moduli space of 1/2 BPS configurations of type IIB SUGRA found by Lin, Lunin and Maldacena (hep-th/0409174), and quantize it directly from the supergravity action, around any point in the moduli space. This quantization is done using the Crnkovic-Witten-Zuckerman covariant method. We make some remarks on the applicability and validity of this general on-shell quantization method. We then obtain an expression for the symplectic form on the moduli space of LLM configurations, and show that it exactly coincides with the one expected from the dual fermion picture. This equivalence is shown for any shape and topology of the droplets and for any number of droplets. This work therefore generalizes the previous work (hep-th/0505079) and resolves the puzzle encountered there.

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