The large N limit of superconformal field theories is dual to supergravity on Anti-de Sitter spacetimes.
U duality between three-dimensional and high er dimensional black holes
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abstract
We show that the D-brane configurations for the five and four-dimensional black holes give the geometry of two and three-dimensional ones as well. The emergence of these lower dimensional black holes from the D-brane configurations for those of higher dimensions comes from the choice of the integration constant of harmonic functions, which decides the asymptotic behavior of the metric and other fields. We show that they are equivalent, which are connected by U-dual transformations. This means that stringy black holes in various dimensions are effectively in the same universality class and many properties of black holes in the same class can be infered from the study of those of the three-dimensional black holes.
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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.
Applies Lindblad open quantum system methods to quantum-corrected 3d AdS black holes to analyze Page curve zig-zag, greybody factors, and Lyapunov exponents in Cotler-Jensen theory.
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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.
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Black holes with quantum corrections in $3d$: The case of Page curve in Lindblad, greybody factor, and Lyapunov exponent
Applies Lindblad open quantum system methods to quantum-corrected 3d AdS black holes to analyze Page curve zig-zag, greybody factors, and Lyapunov exponents in Cotler-Jensen theory.