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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

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 analyze different holographic complexity proposals for black holes that include corrections from bulk quantum fields. The specific setup is the quantum BTZ black hole, which encompasses in an exact manner the effects of conformal fields…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Antonia Micol Frassino , Martin Sasieta , Marija Tomašević

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

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 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

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

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

This thesis develops recent work on the so called Volume-Complexity and Action-Complexity conjectures. According to this family of proposals, geometric quantities can be defined in some holographic gravitational theories that can be mapped…

High Energy Physics - Theory · Physics 2022-09-13 Javier Martin-Garcia

The fact that AdS black hole interior geometries are time-dependent presents two challenges: first, to holographic duality (the boundary matter tends to equilibrate, often very quickly), and, second, to the idea that wormholes can be…

High Energy Physics - Theory · Physics 2023-11-23 Brett McInnes

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

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 holographic complexity has been studied in a background which includes a critical point in the dual field theory. We have examined how the complexity rate and the saturation time of dynamical variables in the theory behave as one moves…

High Energy Physics - Theory · Physics 2019-10-02 H. Ebrahim , M. Asadi , M. Ali-Akbari

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

We study the evolution of holographic complexity of pure and mixed states in $1+1$-dimensional conformal field theory following a local quench using both the "complexity equals volume" (CV) and the "complexity equals action" (CA)…

High Energy Physics - Theory · Physics 2018-08-24 Dmitry S. Ageev , Irina Ya. Aref'eva , Andrey A. Bagrov , Mikhail I. Katsnelson

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

We adapt the complexity as action prescription (CA) to a semi-classical model of two-dimensional dilaton gravity and determine the rate of increase of holographic complexity for an evaporating black hole. The results are consistent with our…

High Energy Physics - Theory · Physics 2020-08-26 Lukas Schneiderbauer , Watse Sybesma , Lárus Thorlacius

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