Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-09-21
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, minor changes in the text, reference added
Scientific paper
One of explanations of the black hole entropy implies that gravity is entirely induced by quantum effects. By using arguments based on the AdS/CFT correspondence we give induced gravity interpretation of the gravity in a brane world in higher dimensional anti-de Sitter (AdS) space. The underlying quantum theory is SU(N) theory where $N$ is related to the CFT central charge. The theory includes massless fields which correspond to degrees of freedom of the boundary CFT. In addition, on the brane there are massive degrees of freedom with masses proportional to $l^{-1}$ where $l$ is the radius of AdS. At the conformal boundary of AdS they are infinitely heavy and completely decouple. It is the massive fields which can explain the black hole entropy. We support our interpretation by a microscopic model of a 2D brane world in $AdS_3$.
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