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Recently 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…

General Relativity and Quantum Cosmology · Physics 2016-09-30 Rong-Gen Cai , Shan-Ming Ruan , Shao-Jiang Wang , Run-Qiu Yang , Rong-Hui Peng

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

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

The "complexity = action" duality states that the quantum complexity is equal to the action of the stationary AdS black holes within the Wheeler-DeWitt patch at late time approximation. We compute the action growth rates of the neutral and…

General Relativity and Quantum Cosmology · Physics 2018-02-27 Wen-Di Guo , Shao-Wen Wei , Yan-Yan Li , Yu-Xiao Liu

We investigated the distinction between two kinds of "Complexity equals Action"(CA) conjecture counting methods which are separately provided by Brown $ et\, al. $ and Lehner $et\, al.$ separately. For the late-time CA complexity growth…

High Energy Physics - Theory · Physics 2019-06-19 Jie Jiang , Bo-Xuan Ge

In this paper, we investigate the growth rates of action for the anti-de Sitter black holes in massive-Einstein gravity models and obtain the universal behaviors of the growth rates of action (the rates of holographic complexity) within the…

High Energy Physics - Theory · Physics 2017-07-11 Wen-Jian Pan , Yong-Chang Huang

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

The Complexity=Action conjecture is studied for black holes in Warped AdS$_3$ space, realized as solutions of Einstein gravity plus matter. The time dependence of the action of the Wheeler-DeWitt patch is investigated, both for the…

High Energy Physics - Theory · Physics 2019-07-03 Roberto Auzzi , Stefano Baiguera , Matteo Grassi , Giuseppe Nardelli , Nicolo Zenoni

Using "complexity=action" proposal we study complexity growth of certain gravitational theories containing higher derivative terms. These include critical gravity in diverse dimensions. One observes that the complexity growth for neutral…

High Energy Physics - Theory · Physics 2017-05-30 Mohsen Alishahiha , Amin Faraji Astaneh , Ali Naseh , M. H. Vahidinia

Recently, the action growth rate of a variety of four-dimensional regular magnetic black holes in F frame is obtained in [1]. Here, we study the action growth rate of a four-dimensional regular electric black hole in P frame that is the…

General Relativity and Quantum Cosmology · Physics 2021-11-24 B. Bahrami Asl , S. H. Hendi , S. N. Sajadi

In a seminal paper by Brown et al. [Phys. Rev. Lett. 116, no. 19, 191301 (2016)] a new conjecture was proposed, namely it was argued that the quantum complexity of a holographic state is equal to action of a Wheeler-DeWitt patch in the late…

General Relativity and Quantum Cosmology · Physics 2018-01-30 Ali Övgün , Kimet Jusufi

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

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

The general form of the action growth for a large class of static black hole solutions in modified gravity which includes $F(R)$-gravity models is computed. The cases of black hole solutions with non vanishing Ricci curvature are also…

High Energy Physics - Theory · Physics 2018-02-14 Lorenzo Sebastiani , Luciano Vanzo , Sergio Zerbini

The recently proposed complexity-action conjecture allows one to calculate how fast one can produce a quantum state from a reference state in terms of the on-shell action of the dual AdS black hole at the Wheeler-DeWitt patch. We show that…

High Energy Physics - Theory · Physics 2017-04-12 Hyat Huang , Xing-Hui Feng , H. Lu

On the holographic complexity dual to the bulk action, we investigate the action growth for a shock wave geometry in a massive gravity theory within the Wheeler-De Witt (WDW) patch at the late time limit. For a global shock wave, the…

High Energy Physics - Theory · Physics 2018-02-13 Yan-Gang Miao , Long Zhao

The physical relevance of the thermodynamic volumes of AdS black holes to the gravity duals of quantum complexity was recently argued by Couch et al. In this paper, by generalizing the Wald-Iyer formalism, we derive a geometric expression…

High Energy Physics - Theory · Physics 2018-08-29 Zhong-Ying Fan , Minyong Guo

In this paper, we use the "complexity equals action" (CA) conjecture to explore the switchback effect in the strongly-coupled quantum field theories with finite $N$ and finite coupling effects. In the perspective of holography, this is…

High Energy Physics - Theory · Physics 2020-04-22 Jie Jiang , Zhaohui Chen , Chengcheng Liu

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

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
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