Extensivity Versus Holography in Anti-de Sitter Spaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, Harvmac

Scientific paper

10.1016/S0550-3213(98)00824-4

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.

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