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We study the "complexity equals volume" (CV) and "complexity equals action" (CA) conjectures by examining moments of of time symmetry for $\rm AdS_3$ wormholes having $n$ asymptotic regions and arbitrary (orientable) internal topology. For…

High Energy Physics - Theory · Physics 2018-02-15 Zicao Fu , Alexander Maloney , Donald Marolf , Henry Maxfield , Zhencheng Wang

The previously proposed "Complexity=Volume" or CV-duality is probed and developed in several directions. We show that the apparent lack of universality for large and small black holes is removed if the volume is measured in units of the…

High Energy Physics - Theory · Physics 2018-12-05 Josiah Couch , Stefan Eccles , Ted Jacobson , Phuc Nguyen

In this paper, according to CA duality, we study the complexity growth of dyonic RN-type black holes with quartic field strength corrections ($F^4$ corrections) to the matter action in general $D\geq4$-dimensions and find the behavior of…

High Energy Physics - Theory · Physics 2020-09-10 Hamid Razaghian

We study systems in $2+1$ dimensions consisting of defects that source an electric charge, or a magnetic flux, of a $U(1)$ field, and we use holography to compute their effects on quantum conformal fields. We can also hide the defects…

High Energy Physics - Theory · Physics 2024-04-24 Ana Climent , Roberto Emparan , Robie A. Hennigar

The Jackiw-Teitelboim (JT) model arises from the dimensional reduction of charged black holes. Motivated by the holographic complexity conjecture, we calculate the late-time rate of change of action of a Wheeler-DeWitt patch in the JT…

High Energy Physics - Theory · Physics 2019-03-06 Adam R. Brown , Hrant Gharibyan , Henry W. Lin , Leonard Susskind , Larus Thorlacius , Ying Zhao

In this paper, we first use the "complexity equals action" conjecture to discuss the complexity growth rate in both perturbation Einsteinian cubic gravity and non-perturbation Einstein-Weyl gravity. We find that the CA complexity rate in…

High Energy Physics - Theory · Physics 2019-10-02 Jie Jiang , Xiao-Wei Li

In this paper, based on the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, we highlight the fundamental role of the holographic central charge in connecting the boundary theory to quantum information, black hole…

High Energy Physics - Theory · Physics 2026-01-01 Yahya Ladghami , Taoufik Ouali

We obtain the holographic complexity of an evaporating black hole in the semi-classical RST model of two-dimensional dilaton gravity, using a volume prescription that takes into account the higher-dimensional origin of the model. For…

High Energy Physics - Theory · Physics 2020-04-06 Lukas Schneiderbauer , Watse Sybesma , Lárus Thorlacius

We explore the two holographic complexity proposals for the case of a 2d boundary CFT with a conformal defect. We focus on a Randall-Sundrum type model of a thin AdS$_2$ brane embedded in AdS$_3$. We find that, using the "complexity=volume"…

High Energy Physics - Theory · Physics 2019-06-05 Shira Chapman , Dongsheng Ge , Giuseppe Policastro

We study the holographic complexity conjectures for rotating black holes, uncovering a relationship between the complexity of formation and the thermodynamic volume of the black hole. We suggest that it is the thermodynamic volume and not…

High Energy Physics - Theory · Physics 2021-03-17 Abdulrahim Al Balushi , Robie A. Hennigar , Hari K. Kunduri , Robert B. Mann

In a quantum circuit, it is believed that complexity itself reaches a maximum of order exponential in the number of q-bits or equivalently exponential in entropy of the black hole. However, the current holographic proposals do not meet this…

High Energy Physics - Theory · Physics 2022-03-23 Shahrokh Parvizi , Mojtaba Shahbazi

The rate of complexification of a quantum state is conjectured to be bounded from above by the average energy of the state. A different conjecture relates the complexity of a holographic CFT state to the on-shell gravitational action of a…

High Energy Physics - Theory · Physics 2018-03-09 Mudassir Moosa

We study holographic complexity for the rotating quantum BTZ black holes (quBTZ), the BTZ black holes with corrections from bulk quantum fields. Using double holography, the combined system of backreacted rotating BTZ black holes with…

High Energy Physics - Theory · Physics 2023-09-13 Bin Chen , Yuefeng Liu , Boyang Yu

We study the effect of the Gauss-Bonnet term on the complexity growth rate of dual field theory using the "Complexity--Volume" (CV) and CV2.0 conjectures. We investigate the late time value and full time evolution of the complexity growth…

High Energy Physics - Theory · Physics 2018-11-21 Yu-Sen An , Rong-Gen Cai , Yuxuan Peng

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

In this paper we consider the maximal volume and the action, which are conjectured to be gravity duals of the complexity, in the black hole geometries with end of the world branes. These geometries are duals of boundary states in CFTs which…

High Energy Physics - Theory · Physics 2020-03-18 Tokiro Numasawa

We study the effect of a probe string to black hole complexity according to the CA (Complexity equals Action) conjecture. Our system contains a particle moving on the boundary of black hole spacetime. In the dual description this…

High Energy Physics - Theory · Physics 2019-01-02 Koichi Nagasaki

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

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

We study the CV, CA, and CV2.0 approaches to holographic complexity in $(d+1)$-dimensional de Sitter spacetime. We find that holographic complexity and corresponding growth rate presents universal behaviour for all three approaches. In…

High Energy Physics - Theory · Physics 2022-06-08 Eivind Jørstad , Robert C. Myers , Shan-Ming Ruan