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We investigate the first law of complexity proposed in arXiv:1903.04511, i.e., the variation of complexity when the target state is perturbed, in more detail. Based on Nielsen's geometric approach to quantum circuit complexity, we find the…

High Energy Physics - Theory · Physics 2022-03-29 Alice Bernamonti , Federico Galli , Juan Hernandez , Robert C. Myers , Shan-Ming Ruan , Joan Simón

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

We investigate the thermodynamics of AdS black holes in Generalized Quasitopological Gravity with and without electric charge, concentrating on the version of the theory that is cubic in curvature. We study new aspects of Hawking-Page…

High Energy Physics - Theory · Physics 2019-09-04 Mozhgan Mir , Robie A. Hennigar , Jamil Ahmed , Robert B. Mann

The recently proposed complexity-action conjecture allows one to calculate how fast one can produce a quantum state from a reference state in terms of the on-shell action of the dual AdS black hole at the Wheeler-DeWitt patch. We show that…

High Energy Physics - Theory · Physics 2017-04-12 Hyat Huang , Xing-Hui Feng , H. Lu

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

High Energy Physics - Theory · Physics 2011-02-22 Robert C. Myers , Aninda Sinha

Applying the "Complexity=Action" conjecture, we study the holographic complexity close to crossover/phase transition in a holographic QCD model proposed by Gubser et al. This model can realize three types of phase transition, crossover or…

High Energy Physics - Theory · Physics 2018-02-27 Shao-Jun Zhang

The holographic complexity conjectures are considered in a Einstein-Maxwell-Dilaton gravity, by using the "Complexity-Volume" proposal. Specifically, we calculate the growth rate of complexity for an eternal charged AdS-dilaton black holes…

High Energy Physics - Theory · Physics 2020-07-21 Ai-chen Li

The quest for extension of holographic correspondence to the case of finite temperature naturally includes Kerr-AdS black holes and their field theory duals. We probe the five-dimensional Kerr-AdS space time by pulsating strings. First we…

High Energy Physics - Theory · Physics 2022-05-05 O. V. Geytota , A. A. Golubtsova , H. Dimov , Vu H. Nguyen , R. C. Rashkov

In this paper we apply the thermodynamics method to investigate the holographic pictures for the BTZ black hole, the spacelike and the null warped black holes in three-dimensional topologically massive gravity (TMG) and new massive gravity…

High Energy Physics - Theory · Physics 2015-03-13 Bin Chen , Jia-ju Zhang , Jian-dong Zhang , De-liang Zhong

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

Black hole solutions that are asymptotic to $ AdS_5 \times S^5$ or $ AdS_4 \times S^7$ can rotate in two different ways. If the internal sphere rotates then one can obtain a Reissner-Nordstrom-AdS black hole. If the asymptotically AdS space…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , H. S. Reall

We study systems in $2+1$ dimensions consisting of defects that source an electric charge, or a magnetic flux, of a $U(1)$ field, and we use holography to compute their effects on quantum conformal fields. We can also hide the defects…

High Energy Physics - Theory · Physics 2024-04-24 Ana Climent , Roberto Emparan , Robie A. Hennigar

Quantum gravity in the region very near the horizon of an extreme Kerr black hole (whose angular momentum and mass are related by J=GM^2) is considered. It is shown that consistent boundary conditions exist, for which the asymptotic…

High Energy Physics - Theory · Physics 2013-05-29 Monica Guica , Thomas Hartman , Wei Song , Andrew Strominger

To effectively utilize the AdS/CFT correspondence, a precise set of rules must be established to guide the translation of computed quantities in the gravitational sector into their CFT counterparts, and vice versa. This framework is…

High Energy Physics - Theory · Physics 2025-09-18 Mohammad Ali S. Afshar , Mohammad Reza Alipour , Saeed Noori Gashti , Jafar Sadeghi

We study phases of equilibrium Hawking radiation in $d$-dimensional holographic CFTs on spatially compact spacetimes with two black holes. In the particular phases chosen the dual $(d+1)$-dimensional bulk solutions describe a variety of…

High Energy Physics - Theory · Physics 2020-01-08 Donald Marolf , Jorge E. Santos

We argue that given holographic CFT$_1$ in some state with a dual spacetime geometry M, and given some other holographic CFT$_2$, we can find states of CFT$_2$ whose dual geometries closely approximate arbitrarily large causal patches of M,…

High Energy Physics - Theory · Physics 2020-12-30 Petar Simidzija , Mark Van Raamsdonk

The configuration entropy (CE) provides a measure of the stability of physical systems that are spatially localized. An increase in the CE is associated with an increase in the instability of the system. In this work we apply a recently…

High Energy Physics - Theory · Physics 2023-11-08 Nelson R. F. Braga , Luiz F. Ferreira , Octavio C. Junqueira

We derive the holographic entanglement entropy contribution from pure and mixed gravitational Chern-Simons(CS) terms in AdS$_{2k+1}$. This is done through two different methods : first, by a direct evaluation of CS action in a holographic…

High Energy Physics - Theory · Physics 2017-02-08 Tatsuo Azeyanagi , R. Loganayagam , Gim Seng Ng

Tunneling processes through black hole horizons have recently been investigated in the framework of WKB theory discovering interesting interplay with the Hawking radiation. In this paper we instead adopt the point of view proper of QFT in…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Valter Moretti , Nicola Pinamonti

In this paper, we will analyse the holographic complexity for time-dependent asymptotically $AdS$ geometries. We will first use a covariant zero mean curvature slicing of the time-dependent bulk geometries, and then use this co-dimension…

High Energy Physics - Theory · Physics 2016-10-13 Davood Momeni , Mir Faizal , Sebastian Bahamonde , Ratbay Myrzakulov