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We refine the calculation of holographic complexity of black holes in the complexity equals action approach by applying the recently introduced criterion that the action of any causal diamond in static vacuum regions must vanish…

High Energy Physics - Theory · Physics 2022-09-13 Ayoub Mounim , Wolfgang Mück

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 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

We evaluate the full time dependence of holographic complexity in various eternal black hole backgrounds using both the complexity=action (CA) and the complexity=volume (CV) conjectures. We conclude using the CV conjecture that the rate of…

High Energy Physics - Theory · Physics 2018-11-15 Dean Carmi , Shira Chapman , Hugo Marrochio , Robert C. Myers , Sotaro Sugishita

We study circuit complexity for spatial regions in holographic field theories. We study analogues based on the entanglement wedge of the bulk quantities appearing in the "complexity = volume" and "complexity = action" conjectures. We…

High Energy Physics - Theory · Physics 2019-04-29 Cesar A. Agón , Matthew Headrick , Brian Swingle

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 of Einstein-Maxwell-Dilaton gravity using the recently proposed "complexity = volume" and "complexity = action" dualities. The model we consider has a ground state that is represented in the bulk via a…

High Energy Physics - Theory · Physics 2018-10-17 Brian Swingle , Yixu Wang

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 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 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

In the presence of a scalar hair perturbation, the Cauchy horizon of a Reissner-Nordstr\"om black hole disappears and is replaced by the rapid collapse of the Einstein-Rosen bridge, which leads to a Kasner singularity [1,2]. We study the…

High Energy Physics - Theory · Physics 2022-09-07 Roberto Auzzi , Stefano Bolognesi , Eliezer Rabinovici , Fidel I. Schaposnik Massolo , Gianni Tallarita

In this paper, we use the "complexity equals action" (CA) conjecture to evaluate the holographic complexity in some multiple-horzion black holes for F(Riemann) gravity coupled to a first-order source-free electrodynamics. Motivated by the…

High Energy Physics - Theory · Physics 2020-02-26 Jie Jiang , Ming Zhang

Within the framework of the "complexity equals action" and "complexity equals volume" conjectures, we study the properties of holographic complexity for rotating black holes. We focus on a class of odd-dimensional equal-spinning black holes…

High Energy Physics - Theory · Physics 2023-01-11 Abdulrahim Al Balushi , Robie A. Hennigar , Hari K. Kunduri , Robert B. Mann

We consider the holographic complexity conjectures for de-Sitter invariant states in a quantum field theory on de Sitter space, dual to asymptotically anti-de Sitter geometries with de Sitter boundaries. The bulk holographic duals include…

High Energy Physics - Theory · Physics 2017-09-06 Alan Reynolds , Simon F. Ross

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

The relationship between thermodynamics and the Lloyd bound on the holographic complexity for a black hole has been of interest. We consider $D$ dimensional anti-de Sitter black holes with hyperbolic geometry as well as black holes with…

High Energy Physics - Theory · Physics 2022-08-03 H. Babaei-Aghbolagh , Hosein Mohammadzadeh , Davood Mahdavian Yekta , Komeil Babaei Velni

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

Based on the complexity equals action (CA) and complexity equals volume (CV) conjectures, we investigate the holographic complexity of a slowly accelerating Kerr-AdS black hole in the bulk Einstein gravity theory which is dual to…

High Energy Physics - Theory · Physics 2023-02-08 Ming Zhang , Chaoxi Fang , Jie Jiang

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

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
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