Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2008/10/028
Keywords
Gauge-gravity correspondence; Black Holes in String Theory; Black Holes; 1/N Expansion
Categories
Funding
- NSF [PHY05-51164, PHY04-56556]
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We present a matrix model which is intended as a toy model of the gauge dual of an AdS black hole. In particular, it captures the key property that at infinite N correlators decay to zero on long time scales, while at finite N this cannot happen. The model consists of a harmonic oscillator in the adjoint which acts as a heat bath for a particle in the fundamental representation. The Schwinger-Dyson equation reduces to a closed recursion relation, which we study by various analytical and numerical methods. We discuss some implications for the information problem.
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