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Black holes found in binaries move at very high velocities relative to our own reference frame and can accelerate due to the emission of gravitational radiation. Here, we investigate the numerical stability and late-time behavior of linear…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena

The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory with a boundary by employing different proposals for the dual…

High Energy Physics - Theory · Physics 2021-04-15 Paolo Braccia , Aldo L. Cotrone , Erik Tonni

Holographic complexity, as the bulk dual of quantum complexity, encodes the geometric structure of black hole interiors. Motivated by the complexity=anything proposal, we introduce the spectral representation for generating functions…

High Energy Physics - Theory · Physics 2026-04-21 Masamichi Miyaji , Shan-Ming Ruan , Shono Shibuya , Kazuyoshi Yano

Based on reasonable assumptions, we propose a new expression for Lloyd's bound, which confines the complexity growth of charged black holes. We then revisit holographic complexity for charged black branes in the presence of a finite cutoff.…

High Energy Physics - Theory · Physics 2022-01-12 Mohsen Alishahiha , Souvik Banerjee , Joshua Kames-King , Emma Loos

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 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 introduce the notion of holographic non-computer as a system which exhibits parametrically large delays in the growth of complexity, as calculated within the Complexity-Action proposal. Some known examples of this behavior include…

High Energy Physics - Theory · Physics 2018-04-17 Jose L. F. Barbon , Javier Martin-Garcia

Motivated by $T{\overline T}$ deformation of a conformal field theory we compute holographic complexity for a black brane solution with a cut off using "complexity=action" proposal. In order to have a late time behavior consistent with…

High Energy Physics - Theory · Physics 2019-01-30 Amin Akhavan , Mohsen Alishahiha , Ali Naseh , Hamed Zolfi

In this article, we study the complexity growth rate for Banados Teitlboim Zanelli, Schwarzschild, Reissner Nordstrom, and Kerr black holes using complexity-volume (CV) and complexity-action (CA) dualities and verify that it is proportional…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Suraj Maurya , Sashideep Gutti , Rahul Nigam , Swastik Bhattacharya

In this paper, we use the "complexity equals action" (CA) conjecture to discuss the action growth rate in a black hole with multiple Killing horizons for a higher curvature theory of gravity. Based on the Noether charge formalism of Iyer…

High Energy Physics - Theory · Physics 2018-10-24 Jie Jiang

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

Recently, Chapman et al. argued that holographic complexities for defects distinguish action from volume. Motivated by their work, we study complexity of quantum states in conformal field theory with boundary. In generic two-dimensional…

High Energy Physics - Theory · Physics 2020-01-08 Yoshiki Sato , Kento Watanabe

In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the bulk, there can be gravitational…

High Energy Physics - Theory · Physics 2010-04-06 Per Kraus , Finn Larsen

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

We analyse the formation and evolution of the event horizon of a black hole binary merger when the black holes are charged. We find that the presence of charge influences the properties of the merger and can be useful for investigating the…

General Relativity and Quantum Cosmology · Physics 2022-04-20 D. Marín Pina , M. Orselli , D. Pica

In the presence of boundaries the integrated conformal anomaly is modified by the boundary terms so that the anomaly is non-vanishing in any (even or odd) dimension. The boundary terms are due to extrinsic curvature whose exact structure in…

High Energy Physics - Theory · Physics 2017-02-09 Amin Faraji Astaneh , Sergey N. Solodukhin

We numerically investigate the evolution of the holographic subregion complexity during a quench process in Einstein-Born-Infeld theory. Based on the subregion CV conjecture, we argue that the subregion complexity can be treated as a probe…

High Energy Physics - Theory · Physics 2019-03-18 Yi Ling , Yuxuan Liu , Cheng-Yong Zhang

The volume behind the black hole horizon was suggested as a holographic dual for the quantum computational complexity of the boundary state in AdS/CFT. This identification is strongly motivated by the switchback effect: a characteristic…

High Energy Physics - Theory · Physics 2023-07-25 Stefano Baiguera , Rotem Berman , Shira Chapman , Robert C. Myers

We introduce a quasilocal version of holographic complexity adapted to `terminal states' such as spacelike singularities. We use a modification of the action-complexity ansatz, restricted to the past domain of dependence of the terminal…

High Energy Physics - Theory · Physics 2018-08-01 Jose L. F. Barbon , Javier Martin-Garcia

We explore the generalized holographic complexity of odd-dimensional Myers-Perry asymptotically Anti-de Sitter (MP-AdS) black holes with equal angular momenta within the ``complexity equals anything'' proposal. We begin by determining the…

High Energy Physics - Theory · Physics 2024-09-16 Ming Zhang , Jia-Long Sun , Robert B. Mann