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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

We discuss the entropy change due to fragmentation for black hole solutions in various dimensions. We find three different types of behavior. The entropy may decrease, increase or have a mixed behavior, characterized by the presence of a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mariano Cadoni

In a seminal paper by Brown et al. [Phys. Rev. Lett. 116, no. 19, 191301 (2016)] a new conjecture was proposed, namely it was argued that the quantum complexity of a holographic state is equal to action of a Wheeler-DeWitt patch in the late…

General Relativity and Quantum Cosmology · Physics 2018-01-30 Ali Övgün , Kimet Jusufi

In this paper, according to CA duality, we study complexity growth of Born-Infeld (BI) black holes. As a comparison, we study action growth of dyonic black holes in Einstein-Maxwell gravity at the beginning. We study action growth of…

High Energy Physics - Theory · Physics 2019-12-24 Kun Meng

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

In this article, we study the complexity growth rate for Banados Teitlboim Zanelli, Schwarzschild, Reissner Nordstrom, and Kerr black holes using complexity-volume (CV) and complexity-action (CA) dualities and verify that it is proportional…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Suraj Maurya , Sashideep Gutti , Rahul Nigam , Swastik Bhattacharya

For an ordinary charged system, it has been shown that by using the "complexity equals action" (CA) conjecture, the late-time growth rate of the holographic complexity is given by a difference between the value of $\Phi_H Q+\Omega_H J$ on…

High Energy Physics - Theory · Physics 2020-10-14 Jie Jiang , Ming Zhang

In a previous paper we had proposed a specific route to relating the entropy of two charge black holes to the degeneracy of elementary string states in N=4 supersymmetric heterotic string theory in four dimensions. For toroidal…

High Energy Physics - Theory · Physics 2009-11-11 Ashoke Sen

Based on the context of complexity = action (CA) conjecture, we calculate the holographic complexity of AdS black holes with planar and spherical topologies in Horndeski theory. We find that the rate of change of holographic complexity for…

High Energy Physics - Theory · Physics 2019-02-20 Xing-Hui Feng , Hai-Shan Liu

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 near horizon behavior of small D-dimensional 2-charge black holes by modifying tree level effective action of heterotic string with all extended Gauss-Bonnet densities. We show that there is a nontrivial and unique choice of…

High Energy Physics - Theory · Physics 2009-11-11 Predrag Prester

Four dimensional heterotic string effective action is known to admit non-rotating electrically and magnetically charged black hole solutions. It is shown that the partition functions and entropies in both the cases are identical when these…

High Energy Physics - Theory · Physics 2009-10-28 Amit Ghosh , Jnanadeva Maharana

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

In this paper, according to CA duality, we study the complexity growth of dyonic RN-type black holes with quartic field strength corrections ($F^4$ corrections) to the matter action in general $D\geq4$-dimensions and find the behavior of…

High Energy Physics - Theory · Physics 2020-09-10 Hamid Razaghian

We numerically construct static localized black holes in five and six spacetime dimensions which are solutions to Einstein's vacuum field equations with one compact periodic dimension. In particular, we investigate the critical regime in…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Michael Kalisch , Sebastian Moeckel , Martin Ammon

We study the holographic complexity conjectures for rotating black holes, uncovering a relationship between the complexity of formation and the thermodynamic volume of the black hole. We suggest that it is the thermodynamic volume and not…

High Energy Physics - Theory · Physics 2021-03-17 Abdulrahim Al Balushi , Robie A. Hennigar , Hari K. Kunduri , Robert B. Mann

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 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

In this paper, we investigate the growth rates of action for the anti-de Sitter black holes in massive-Einstein gravity models and obtain the universal behaviors of the growth rates of action (the rates of holographic complexity) within the…

High Energy Physics - Theory · Physics 2017-07-11 Wen-Jian Pan , Yong-Chang Huang

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