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Related papers: Holographic complexity of Born-Infeld gravity

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We examine the holographic complexity conjectures in the context of holographic theories of FRW spacetimes. Analyzing first the complexity-action conjecture for a flat FRW universe with one component, we find that the complexity grows as…

High Energy Physics - Theory · Physics 2020-04-01 Reginald J. Caginalp

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

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

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

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

This paper is devoted to the study of the evolution of holographic complexity after a local perturbation of the system at finite temperature. We calculate the complexity using both the complexity=action(CA) and the complexity=volume(CA)…

High Energy Physics - Theory · Physics 2019-12-11 Dmitry S. Ageev

The problem of holographic thermalization in the framework of Einstein gravity coupled to Born-Infeld nonlinear electrodynamics is investigated. We use equal time two-point correlation functions and expectation values of Wilson loop…

High Energy Physics - Theory · Physics 2015-02-24 Giancarlo Camilo , Bertha Cuadros-Melgar , Elcio Abdalla

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

This work investigates the connection between quantum complexity and gravitational dynamics within the framework of Horndeski gravity, extending the AdS/BCFT correspondence to include scalar-tensor interactions. By refining the…

High Energy Physics - Theory · Physics 2026-04-02 Fabiano F. Santos , Behnam Pourhassan , Emmanuel N. Saridakis

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

We investigate the broad landscape of holographic complexity measures for theories dual to two-dimensional (2D) dilaton gravity. Previous studies have largely focused on the complexity=volume and complexity=action proposals for holographic…

High Energy Physics - Theory · Physics 2025-11-14 Elena Cáceres , Rafael Carrasco , Vaishnavi Patil , Juan F. Pedraza , Andrew Svesko

We employ the "complexity equals action" conjecture to investigate the action growth rate for the charged and neutral AdS black branes of a holographic toy model consisting of Einstein-Maxwell theory in $d + 1$-dimensional bulk spacetime…

High Energy Physics - Theory · Physics 2021-11-03 Davood Mahdavian Yekta , H. Babaei-Aghbolagh , Komeil Babaei Velni , H. Mohammadzadeh

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 influence of angular momentum on quantum complexity for CFT states holographically dual to rotating black holes. Using the holographic complexity=action (CA) and complexity=volume (CV) proposals, we study the full time…

High Energy Physics - Theory · Physics 2021-11-10 Alice Bernamonti , Francesco Bigazzi , Davide Billo , Lapo Faggi , Federico Galli

We employ holography to calculate the quantum complexity of $T\bar{T}$-deformation, utilizing the complexity equals volume (CV) and the complexity equals action (CA) proposals within the bulk spacetime with a finite radius cutoff. We find…

High Energy Physics - Theory · Physics 2024-10-14 Amin Faraji Astaneh

We develop techniques of analyzing the unitarity of general Born-Infeld (BI) gravity actions in D-dimensional spacetimes. Determinantal form of the action allows us to find a compact expression quadratic in the metric fluctuations around…

High Energy Physics - Theory · Physics 2011-01-06 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

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

We investigate the variation of holographic complexity for two nearby target states. Based on Nielsen's geometric approach, we find the variation only depends on the end point of the optimal trajectory, a result which we designate the first…

High Energy Physics - Theory · Physics 2020-02-28 Alice Bernamonti , Federico Galli , Juan Hernandez , Robert C. Myers , Shan-Ming Ruan , Joan Simón

In this work, we study the holographic dual of the $\text{T}\bar{\text{T}}$ deformation following the mixed boundary condition proposal. We point out that a boundary term should be included in the gravity action in the holographic…

High Energy Physics - Theory · Physics 2023-08-08 Jia Tian

We consider the holographic dual of SQCD in the conformal phase. It is based on a higher derivative gravity theory, which ensures the correct field theory anomalies. This is then related to a six dimensional gravity theory via S^1…

High Energy Physics - Theory · Physics 2009-11-11 James Babington