The large N limit of superconformal field theories is dual to supergravity on Anti-de Sitter spacetimes.
Microscopic derivation o f the Bekenstein-Hawking entropy formula for nonextremal black holes
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abstract
We derive the Bekenstein-Hawking entropy formula for four and five dimensional non-supersymmetric black holes (which include the Schwarzchild ones) by counting microscopic states. This is achieved by first showing that these black holes are U-dual to the three-dimensional black hole of Banados-Teitelboim-Zanelli and then counting microscopic states of the latter following Carlip's approach. Higher than five dimensional black holes are also considered. We discuss the connection of our approach to the D-brane picture.
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Gauge theory correlators in 3+1D N=4 SYM with large N are obtained from the supergravity action on the AdS boundary, with anomalous dimensions for massive string modes growing as 2(n g_YM sqrt(2N))^{1/2} at strong 't Hooft coupling.
Microscopic D-brane description of non-supersymmetric extremal black holes yields a unique ground state with non-zero energy, confirming absence of degeneracy.
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The Large N Limit of Superconformal Field Theories and Supergravity
The large N limit of superconformal field theories is dual to supergravity on Anti-de Sitter spacetimes.
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Gauge Theory Correlators from Non-Critical String Theory
Gauge theory correlators in 3+1D N=4 SYM with large N are obtained from the supergravity action on the AdS boundary, with anomalous dimensions for massive string modes growing as 2(n g_YM sqrt(2N))^{1/2} at strong 't Hooft coupling.