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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 evolution of holographic complexity in various AdS/CFT models containing cosmological crunch singularities. We find that a notion of complexity measured by extremal bulk volumes tends to decrease as the singularity is…

High Energy Physics - Theory · Physics 2016-02-17 Jose L. F. Barbon , Eliezer Rabinovici

We consider a strongly coupled field theory with a critical point and nonzero chemical potential at finite temperature, which is dual to an asymptotically AdS charged black hole. We study the evolution of the rescaled holographic subregion…

High Energy Physics - Theory · Physics 2021-06-30 Mahsa Lezgi , Mohammad Ali-Akbari

We study the complexity growth by using complexity = action (CA) proposal in Minimal Massive 3D Gravity(MMG) model which is proposed for resolving the bulk-boundary clash problem of Topologically Massive Gravity(TMG). We observe that the…

High Energy Physics - Theory · Physics 2018-01-31 Mohammad M. Qaemmaqami

It was recently conjectured that the quantum complexity of a holographic boundary state can be computed by evaluating the gravitational action on a bulk region known as the Wheeler-DeWitt patch. We apply this complexity=action duality to…

High Energy Physics - Theory · Physics 2017-06-15 Shira Chapman , Hugo Marrochio , Robert C. Myers

Using "complexity=action" proposal we study complexity growth of certain gravitational theories containing higher derivative terms. These include critical gravity in diverse dimensions. One observes that the complexity growth for neutral…

High Energy Physics - Theory · Physics 2017-05-30 Mohsen Alishahiha , Amin Faraji Astaneh , Ali Naseh , M. H. Vahidinia

We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating…

High Energy Physics - Theory · Physics 2016-05-12 Adam R. Brown , Daniel A. Roberts , Leonard Susskind , Brian Swingle , Ying Zhao

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

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

It has been recently proposed that late time behavior of holographic complexity in a uncharged black brane solution of Einstein-Hilbert theory with boundary cut off is consistent with Lloyd's bound if we have a cut off behind the horizon.…

High Energy Physics - Theory · Physics 2019-09-04 S. Sedigheh Hashemi , Ghadir Jafari , Ali Naseh , Hamed Zolfi

We study two recent conjectures for holographic complexity: the complexity=action conjecture and the complexity=volume conjecture. In particular, we examine the structure of the UV divergences appearing in these quantities, and show that…

High Energy Physics - Theory · Physics 2019-05-27 Dean Carmi , Robert C. Myers , Pratik Rath

We study a three-dimensional holographic CFT under the influence of a background electric field on a spacetime containing two black hole horizons. The electric background is fixed such that there is potential difference between the two…

High Energy Physics - Theory · Physics 2024-05-28 William D. Biggs , Jorge E. Santos

In cosmic holography, the fundamental quantity is the degrees of freedom on a horizon surface rather than the material contents within the volume. That is, the horizon area and hence cosmological expansion rate H is related to the entropy.…

High Energy Physics - Theory · Physics 2007-05-23 Eric V. Linder

In this note we investigate the role of Lloyd's computational bound in holographic complexity. Our goal is to translate the assumptions behind Lloyd's proof into the bulk language. In particular, we discuss the distinction between…

High Energy Physics - Theory · Physics 2018-04-04 William Cottrell , Miguel Montero

We study the finite term of the holographic entanglement entropy for the charged black hole in AdS(d+2) and other examples of black holes when the spatial region in the boundary theory is given by one or two parallel strips. For one large…

High Energy Physics - Theory · Physics 2011-05-09 Erik Tonni

We study the action growth rate in the Wheeler-DeWitt (WDW) patch for a variety of $D\ge 4$ black holes in Einstein gravity that are asymptotic to the anti-de Sitter spacetime, with spherical, toric and hyperbolic horizons, corresponding to…

High Energy Physics - Theory · Physics 2020-08-26 Hai-Shan Liu , H. Lu , Liang Ma , Wen-Di Tan

We establish a version of the Momentum/Complexity (PC) duality between the rate of operator complexity growth and a radial component of bulk momentum for a test system falling into a black hole. In systems of finite entropy, our map remains…

High Energy Physics - Theory · Physics 2020-08-26 José L. F. Barbón , Javier Martín-García , Martin Sasieta

In this work, we study the computational complexity of massive gravity theory via the "Complexity = Action" conjecture. Our system contains a particle moving on the boundary of the black hole spacetime. It is dual to inserting a fundamental…

High Energy Physics - Theory · Physics 2021-08-30 Yu-Ting Zhou , Xiao-Mei Kuang , Jian-Pin Wu

Recent proposals suggest that a notion of generalized complexity, analogous to generalized entropy, may be necessary for understanding the dynamics of holographic complexity in settings where quantum effects are non-negligible, such as…

High Energy Physics - Theory · Physics 2026-05-01 Violet Concepcion , Kyle Ritchie

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
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