Action growth for AdS black holes
By R. Cai, Shan-Ming Ruan, Shao-Jiang Wang, Run-Qiu Yang, Rong-Hui Peng. 2016
193 citations recorded by the source corpus.
A bstractRecently a Complexity-Action (CA) duality conjecture has been proposed, which relates the quantum complexity of a holographic boundary state to the action of a Wheeler-DeWitt (WDW) patch in the anti-de Sitter (AdS) bulk. In this paper we further investigate the duality conjecture for stationary AdS black holes and derive some exact results for the growth rate of action within the Wheeler-DeWitt (WDW) patch at late time approximation, which is supposed to be dual to the growth rate of quantum complexity of holographic state. Based on the results from the general D-dimensional Reissner-Nordström (RN)-AdS black hole, rotating/charged Bañados-Teitelboim-Zanelli (BTZ) black hole, Kerr-AdS black hole and charged Gauss-Bonnet-AdS black hole, we present a universal formula for the action growth expressed in terms of some thermodynamical quantities associated with the outer and inner horizons of the AdS black holes. And we leave the conjecture unchanged that the stationary AdS black hole in Einstein gravity is the fastest computer in nature.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a5e928331235b06efe0f7e7b3aeb158a5c24e7b9
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Citations in the corpus
- Holographic complexity in Vaidya spacetimes. Part II (2018, background): “In addition, very little is known about higher curvature corrections to properties of complexity [61, 63] in shock wave backgrounds.”
- Complexity of formation in holography (2016, background): “Finally, it would be instructive to investigate the complexity of formation for higher curvature theories of gravity [55, 56], although this would require first a better understanding of the boundary terms for the corresponding gravitational actions.”
- Complexity and entanglement for thermofield double states (2018, background): “ion so far suggests that for holographic CFTs in Minkowski space as considered here the CA late time growth rate does not receive direct corrections for the Lovelock class of theories [47] (see refs. [25,44] for discussion focused on Gauss-Bonnet gravity). It is an interesting question as to whether”
- On the time dependence of holographic complexity (2017, background): “Lloyd’s bound: A generalization of Lloyd’s bound for the case of charged black holes has been proposed in [8] (see also [54]).”