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Holographic non-computers
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DOI：10.1007/JHEP02(2018)181.png)
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摘要
En 中文
We introduce the notion of holographic non-computer as a system which exhibits parametrically large delays in the growth of complexity, as calculated within the Complexity-Action proposal. Some known examples of this behavior include extremal black holes and near-extremal hyperbolic black holes. Generic black holes in higher-dimensional gravity also show non-computing features. Within the 1/d expansion of General Relativity, we show that large-d scalings which capture the qualitative features of complexity, such as a linear growth regime and a plateau at exponentially long times, also exhibit an initial computational delay proportional to d. While consistent for large AdS black holes, the required 'non-computing' scalings are incompatible with thermodynamic stability for Schwarzschild black holes, unless they are tightly caged.
Keyword:
AdS-CFT Correspondence
Gauge -gravity correspondence
Black Holes
Conformal Field Theory
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IF:
5.5
论文数:
4.0W
被引数:
13.7W
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