Geometry quantization from supergravity: the case of ``bubbling AdS'' | Zendy

Liat Maoz | Zendy; Slava Rychkov | Zendy

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Geometry quantization from supergravity: the case of ``bubbling AdS''

Author(s) -

Liat Maoz,

Slava Rychkov

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/08/096

Subject(s) - physics , supergravity , moduli space , symplectic geometry , quantization (signal processing) , covariant transformation , moduli , mathematical physics , theoretical physics , supersymmetry , geometry , quantum mechanics , mathematics , computer science , computer vision

We consider the moduli space of 1/2 BPS configurations of type IIB SUGRAfound by Lin, Lunin and Maldacena (hep-th/0409174), and quantize it directlyfrom the supergravity action, around any point in the moduli space. Thisquantization is done using the Crnkovic-Witten-Zuckerman covariant method. Wemake some remarks on the applicability and validity of this general on-shellquantization method. We then obtain an expression for the symplectic form onthe moduli space of LLM configurations, and show that it exactly coincides withthe one expected from the dual fermion picture. This equivalence is shown forany shape and topology of the droplets and for any number of droplets. Thiswork therefore generalizes the previous work (hep-th/0505079) and resolves thepuzzle encountered there.Comment: 30 pages + appendix, 4 figures, JHEP3; v4: a reference adde

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