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• W3105408078 startingPage "004" @default.
• W3105408078 abstract "We study a relation between droplet configurations in the bubbling AdS geometries and a complex matrix model that describes the dynamics of a class of chiral primary operators in dual N=4 super Yang Mills (SYM). We show rigorously that a singlet holomorphic sector of the complex matrix model is equivalent to a holomorphic part of two-dimensional free fermions, and establish an exact correspondence between the singlet holomorphic sector of the complex matrix model and one-dimensional free fermions. Based on this correspondence, we find a relation of the singlet holomorphic operators of the complex matrix model to the Wigner phase space distribution. By using this relation and the AdS/CFT duality, we give a further evidence that the droplets in the bubbling AdS geometries are identified with those in the phase space of the one-dimensional fermions. We also show that the above correspondence actually maps the operators of N=4 SYM corresponding to the (dual) giant gravitons to the droplet configurations proposed in the literature." @default.
• W3105408078 created "2020-11-23" @default.
• W3105408078 creator A5088359221 @default.
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• W3105408078 date "2005-10-03" @default.
• W3105408078 modified "2023-09-25" @default.
• W3105408078 title "Complex matrix model and fermion phase space for bubbling AdS geometries" @default.
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• W3105408078 doi "https://doi.org/10.1088/1126-6708/2005/10/004" @default.
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