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According to the conjecture "complexity equals action," the complexity of a holographic state is equal to the action of a Wheeler-DeWitt (WDW) patch of black holes in anti-de Sitter space. In this paper we calculate the action growth of…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Rong-Gen Cai , Misao Sasaki , Shao-Jiang Wang

Based on the context of complexity = action (CA) conjecture, we calculate the holographic complexity of AdS black holes with planar and spherical topologies in Horndeski theory. We find that the rate of change of holographic complexity for…

High Energy Physics - Theory · Physics 2019-02-20 Xing-Hui Feng , Hai-Shan Liu

Using complexity=action proposal we study the growth rate of holographic complexity for Lifshitz and hyperscaling violating geometries. We will consider both one and two sided black branes in an Einstein-Maxwell-Dilaton gravitational…

High Energy Physics - Theory · Physics 2018-08-01 Mohsen Alishahiha , Amin Faraji Astaneh , M. Reza Mohammadi Mozaffar , Ali Mollabashi

We revisit the complexity$=$action proposal for charged black holes. We investigate the complexity for a dyonic black hole, and we find the surprising feature that the late-time growth is sensitive to the ratio between electric and magnetic…

High Energy Physics - Theory · Physics 2019-03-27 Kanato Goto , Hugo Marrochio , Robert C. Myers , Leonel Queimada , Beni Yoshida

In this paper, we investigate the action growth in various backgrounds in Einstein-Maxwell-Dilaton theory. We calculate the full time evolution of action growth in AdS dilaton black hole and find it approaches the late time bound from…

High Energy Physics - Theory · Physics 2018-03-28 Yu-Sen An , Rong-Hui Peng

Using the ``complexity equals action''(CA) conjecture, for an ordinary charged system, it has been shown that the late-time complexity growth rate is given by a difference between the value of $\Phi_{H}Q+\Omega_H J$ on the inner and outer…

High Energy Physics - Theory · Physics 2021-10-22 Shun Jiang , Jie Jiang

In the context of CA conjecture for holographic complexity, we study the action growth rate at late time approximation for general quadratic curvature theory of gravity. We show how the Lloyd's bound saturates for charged and neutral black…

High Energy Physics - Theory · Physics 2020-10-28 Ahmad Ghodsi , Saeed Qolibikloo , Saman Karimi

Inspired by the recent "Complexity = Action" conjecture, we use the approach proposed by Lehner et al. to calculate the rate of the action of the WheelerDeWitt patch at late times for static uncharged and charged black holes in $f\left(…

High Energy Physics - Theory · Physics 2017-08-23 Peng Wang , Haitang Yang , Shuxuan Ying

Within the framework of the "complexity equals action" and "complexity equals volume" conjectures, we study the properties of holographic complexity for rotating black holes. We focus on a class of odd-dimensional equal-spinning black holes…

High Energy Physics - Theory · Physics 2023-01-11 Abdulrahim Al Balushi , Robie A. Hennigar , Hari K. Kunduri , Robert B. Mann

We calculate the holographic complexity of a family of hyperbolic black holes in an Einstein-Maxwell-dilaton (EMD) system by applying the complexity=action (CA) conjecture. While people previously studied spherical black holes in the same…

High Energy Physics - Theory · Physics 2024-07-26 Yongao Wang , Jie Ren

Quantum complexity of CFT states can be computed holographically from the dual gravitational solutions. In this paper, we have studied the late time growth of holographic complexity of a charged black hole in five-dimensional, Anti-de…

High Energy Physics - Theory · Physics 2023-01-04 Taniya Mandal , Arpita Mitra , Gurmeet Singh Punia

We study the action growth rate in the Wheeler-DeWitt (WDW) patch for a variety of $D\ge 4$ black holes in Einstein gravity that are asymptotic to the anti-de Sitter spacetime, with spherical, toric and hyperbolic horizons, corresponding to…

High Energy Physics - Theory · Physics 2020-08-26 Hai-Shan Liu , H. Lu , Liang Ma , Wen-Di Tan

For an ordinary charged system, it has been shown that by using the "complexity equals action" (CA) conjecture, the late-time growth rate of the holographic complexity is given by a difference between the value of $\Phi_H Q+\Omega_H J$ on…

High Energy Physics - Theory · Physics 2020-10-14 Jie Jiang , Ming Zhang

In the presence of a scalar hair perturbation, the Cauchy horizon of a Reissner-Nordstr\"om black hole disappears and is replaced by the rapid collapse of the Einstein-Rosen bridge, which leads to a Kasner singularity [1,2]. We study the…

High Energy Physics - Theory · Physics 2022-09-07 Roberto Auzzi , Stefano Bolognesi , Eliezer Rabinovici , Fidel I. Schaposnik Massolo , Gianni Tallarita

In this paper, we relate the complexity for a holographic state to a simple gravitational object of which the growth rate at late times is equal to temperature times black hole entropy. We show that if this is correct, the thermodynamics of…

High Energy Physics - Theory · Physics 2019-07-31 Zhong-Ying Fan , Minyong Guo

We consider the growth of the action for black hole spacetime with a fundamental string. Our interest is to find the difference of the behavior between black holes with three different topologies in the scenario of complexity-action…

High Energy Physics - Theory · Physics 2020-09-24 Koichi Nagasaki

We construct a time-dependent expression of the computational complexity of a quantum system which consists of two conformal complex scalar field theories in d dimensions coupled to constant electric potentials and defined on the boundaries…

High Energy Physics - Theory · Physics 2019-05-29 Musema Sinamuli , Robert B. Mann

We revisit the late-time growth rate of various holographic complexity conjectures for neutral and charged AdS black holes with single or multiple horizons in two dimensional (2D) gravity like Jackiw-Teitelboim (JT) gravity and JT-like…

High Energy Physics - Theory · Physics 2020-09-10 Rong-Gen Cai , Song He , Shao-Jiang Wang , Yu-Xuan Zhang

We evaluate the full time dependence of holographic complexity in various eternal black hole backgrounds using both the complexity=action (CA) and the complexity=volume (CV) conjectures. We conclude using the CV conjecture that the rate of…

High Energy Physics - Theory · Physics 2018-11-15 Dean Carmi , Shira Chapman , Hugo Marrochio , Robert C. Myers , Sotaro Sugishita

Using the "Complexity = Action" framework we compute the late time growth of complexity for charged black holes in Lovelock gravity. Our calculation is facilitated by the fact that the null boundaries of the Wheeler-DeWitt patch do not…

High Energy Physics - Theory · Physics 2018-09-26 Pablo A. Cano , Robie A. Hennigar , Hugo Marrochio
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