Extensivity Versus Holography in Anti-de Sitter Spaces
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We study the dimensionality manifested in the AdS/CFT correspondence. We show that the dimensionality as expressed by the high temperature behavior of a system has a holographic nature also at the quantum level. The emergence of the AdS black hole as a master field at high temperature leads to the screening of the extra dimensions in its excluded volume.
15 pages, Harvmac
15 pages, Harvmac