Extensivity Versus Holography in Anti-de Sitter Spaces

Abstract

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

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• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
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• A note on supersymmetric Yang-Mills thermodynamics
• Remarks on Black Hole Instabilities and Closed String Tachyons
• Deconstructing the Little Hagedorn Holography
• Fast Scramblers Of Small Size
• Ideal gas matching for thermal Galilean holography
• Confinement and the AdS/CFT Correspondence
• On the asymptotic density of states in solvable models of strings
• The Emergence of Superconducting Systems in Anti-de Sitter Space