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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 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

Recently, it has been argued in [1] that Jackiw-Teitelboim (JT) gravity can be naturally realized in the Karch-Randall braneworld in $(2+1)$ dimensions. Using the `complexity=volume' proposal, we studied this model and computed the…

High Energy Physics - Theory · Physics 2023-07-11 Aranya Bhattacharya , Arpan Bhattacharyya , Ayan K. Patra

The holographic complexity of a static spherically symmetric black hole, defined as the volume of an extremal surface, grows linearly with time at late times in general relativity. The growth comes from a region at a constant transverse…

High Energy Physics - Theory · Physics 2025-08-11 Friðrik Freyr Gautason , Vyshnav Mohan , Lárus Thorlacius

We explore the complexity equals volume proposal for planar black holes in anti-de Sitter (AdS) spacetime in 2+1 dimensions, with an end of the world (ETW) brane behind the horizon. We allow for the possibility of intrinsic gravitational…

High Energy Physics - Theory · Physics 2024-04-03 Sergio E. Aguilar-Gutierrez , Ben Craps , Juan Hernandez , Mikhail Khramtsov , Maria Knysh , Ashish Shukla

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

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

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

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 a two-dimensional theory of gravity coupled to matter that is relevant to describe holographic properties of black holes with a single rotational parameter in five dimensions (with or without cosmological constant). We focus on the…

High Energy Physics - Theory · Physics 2021-12-08 Alejandra Castro , Juan F. Pedraza , Chiara Toldo , Evita Verheijden

The holographic complexity conjectures are considered in a Einstein-Maxwell-Dilaton gravity, by using the "Complexity-Volume" proposal. Specifically, we calculate the growth rate of complexity for an eternal charged AdS-dilaton black holes…

High Energy Physics - Theory · Physics 2020-07-21 Ai-chen Li

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

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

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

Using "complexity=action" proposal we study the late time growth rate of holographic complexity for nonlinear charged Lifshitz black hole with a single horizon or two horizons. As a toy model, we consider two kinds of such black holes:…

High Energy Physics - Theory · Physics 2020-09-18 Kai-Xin Zhu , Fu-Wen Shu , Dong-Hui Du

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

In this paper, taking the large $R$ limit and using the complexity-volume duality, we investigate the holographic complexity growth rate of a field state defined on the universe located at an asymptotical AdS boundary in Gauss-Bonnet…

High Energy Physics - Theory · Physics 2020-03-26 Wen-Jian Pan , Yu-lin Li , Min Song , Wen-bin Xie , Shuang Zhang

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 develop a method for obtaining exact time-dependent solutions in Jackiw-Teitelboim gravity coupled to non-conformal matter and study consequences for $NAdS_2$ holography. We study holographic quenches in which we find that the black hole…

High Energy Physics - Theory · Physics 2020-03-11 Lata Kh Joshi , Ayan Mukhopadhyay , Alexander Soloviev

Volume complexity in dS$_2$ remains $O(1)$ up to a critical time, after which it suddenly diverges. On the other hand, for the dS$_2$ solution in JT gravity there is a linear dilaton which smoothly grows towards the future infinity. From…

High Energy Physics - Theory · Physics 2023-07-26 Takanori Anegawa , Norihiro Iizuka , Sunil Kumar Sake , Nicolò Zenoni
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