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We study the effect of a probe string to black hole complexity according to the CA (Complexity equals Action) conjecture. Our system contains a particle moving on the boundary of black hole spacetime. In the dual description this…

High Energy Physics - Theory · Physics 2019-01-02 Koichi Nagasaki

In this work, we present the effect of a probe string on the complexity of a black hole according to the CA (Complexity equals action) conjecture on Horndeski's gravity. In our system, we consider a particle moving on the boundary of black…

High Energy Physics - Theory · Physics 2020-10-13 F. F. Santos

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

In this paper, we investigate the complexity growth of the tensionless limit of string in the neutral BTZ black hole horizon in massive gravity. When the string approaches the horizon, we observe a novel phenomenon for the Nambu-Goto action…

High Energy Physics - Theory · Physics 2023-12-08 Yu-Ting Zhou

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

The "complexity = action" duality states that the quantum complexity is equal to the action of the stationary AdS black holes within the Wheeler-DeWitt patch at late time approximation. We compute the action growth rates of the neutral and…

General Relativity and Quantum Cosmology · Physics 2018-02-27 Wen-Di Guo , Shao-Wen Wei , Yan-Yan Li , Yu-Xiao Liu

In four dimensions, we consider a generalized scalar-tensor theory where the coupling functions only depend on the kinetic term of the scalar field. For this model, we obtain a set of hairy Anti-de-Sitter black hole solutions, allowing us…

High Energy Physics - Theory · Physics 2022-01-27 Moisés Bravo-Gaete , F. F. Santos

We investigate the effect of $R^2$ corrections on holographic complexity growth within the framework of the Complexity=Action(CA) conjecture. By introducing a probe string into Gauss-Bonnet(GB) $AdS$ black brane background, we analyze the…

High Energy Physics - Phenomenology · Physics 2025-07-29 Wen-Bin Chang

A generalized action for strings which is a sum of the Nambu-Goto and the extrinsic curvature (the energy integral of the surface) terms, is used to couple strings to gravity. It is shown that the conical singularity has deficit angle that…

High Energy Physics - Theory · Physics 2009-10-30 R. Parthasarathy , K. S. Viswanathan

Using the "Complexity = Action" framework we compute the late time growth of complexity for charged black holes in Lovelock gravity. Our calculation is facilitated by the fact that the null boundaries of the Wheeler-DeWitt patch do not…

High Energy Physics - Theory · Physics 2018-09-26 Pablo A. Cano , Robie A. Hennigar , Hugo Marrochio

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

We study the effect of the Gauss-Bonnet term on the complexity growth rate of dual field theory using the "Complexity--Volume" (CV) and CV2.0 conjectures. We investigate the late time value and full time evolution of the complexity growth…

High Energy Physics - Theory · Physics 2018-11-21 Yu-Sen An , Rong-Gen Cai , Yuxuan Peng

On the holographic complexity dual to the bulk action, we investigate the action growth for a shock wave geometry in a massive gravity theory within the Wheeler-De Witt (WDW) patch at the late time limit. For a global shock wave, the…

High Energy Physics - Theory · Physics 2018-02-13 Yan-Gang Miao , Long Zhao

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

This work investigates the influence of a probe string on the complexity of braneworld according to the CA (Complexity equals action) conjecture within the Horndeski gravity. In the current study, it is considered that scalar fields that…

High Energy Physics - Theory · Physics 2023-01-02 Fabiano F. Santos , Oleksii Sokoliuk , Alexander Baransky

We consider computational complexity of AdS_5 black holes. Our system contains a particle moving on the boundary of AdS. This corresponds to the insertion of a fundamental string in AdS_5 bulk spacetime. Our results give a constraint for…

High Energy Physics - Theory · Physics 2018-01-03 Koichi Nagasaki

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 investigate charged Nambu-Goto strings/membrane systems in the Einstein-Maxwell theory in 3+1 dimensions. We first construct a charged string hedgehog solution that has a single horizon and conical singularity. Then we examine a charged…

General Relativity and Quantum Cosmology · Physics 2011-07-06 Hikaru Kawai , Toshihiro Matsuo

The Complexity=Action conjecture is studied for black holes in Warped AdS$_3$ space, realized as solutions of Einstein gravity plus matter. The time dependence of the action of the Wheeler-DeWitt patch is investigated, both for the…

High Energy Physics - Theory · Physics 2019-07-03 Roberto Auzzi , Stefano Baiguera , Matteo Grassi , Giuseppe Nardelli , Nicolo Zenoni

In this paper, we investigate the action growth in various backgrounds in Einstein-Maxwell-Dilaton theory. We calculate the full time evolution of action growth in AdS dilaton black hole and find it approaches the late time bound from…

High Energy Physics - Theory · Physics 2018-03-28 Yu-Sen An , Rong-Hui Peng
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