Holographic non-computers
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. Gen...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/193902 |
| Acceso en línea: | http://hdl.handle.net/10261/193902 |
| Access Level: | acceso abierto |
| Palabra clave: | AdS-CFT correspondence Gauge-gravity correspondence Black holes Conformal field theory |
| Sumario: | 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. |
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