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The volume behind the black hole horizon was suggested as a holographic dual for the quantum computational complexity of the boundary state in AdS/CFT. This identification is strongly motivated by the switchback effect: a characteristic…

High Energy Physics - Theory · Physics 2023-07-25 Stefano Baiguera , Rotem Berman , Shira Chapman , Robert C. Myers

We study the holographic construction of timelike entanglement entropy (tEE) in black hole backgrounds in Lorentzian geometries. The holographic tEE is realized through extremal surfaces consisting of spacelike and timelike branches that…

High Energy Physics - Theory · Physics 2026-03-11 Mir Afrasiar , Jaydeep Kumar Basak , Keun-Young Kim

We investigate the extension of a holographic construction for the entanglement negativity of two disjoint subsystems in proximity to $CFT_d$s with a conserved charge dual to bulk $AdS_{d+1}$ geometries. The construction involves a specific…

High Energy Physics - Theory · Physics 2022-07-08 Mir Afrasiar , Jaydeep Kumar Basak , Vinayak Raj , Gautam Sengupta

Exploring the significant impacts of topological charge on the holographic phase transitions and conductivity we start from an Einstein - Maxwell system coupled with a charged scalar field in Anti - de Sitter spacetime. In our set up, the…

High Energy Physics - Theory · Physics 2021-05-20 Tran Huu Phat , Toan T. Nguyen

A ``large'' AdS black hole can attain equilibrium with its own Hawking radiation, and in that condition it is thought to be dual to a strongly coupled field theory, also at equilibrium. But the interior of the black hole is by no means…

High Energy Physics - Theory · Physics 2024-03-20 Brett McInnes

We examine the complexity of quasi-static chaotic open quantum systems. As a prototypical example, we analytically compute the Krylov complexity of a slowly leaking hard-sphere gas using Berry's conjecture. We then connect it to the…

High Energy Physics - Theory · Physics 2023-12-05 Vyshnav Mohan

In recent papers we had developed a unified picture of black hole entropy and curvature which was shown to lead to Hawking radiation. It was shown that for any black hole mass, holography implies a phase space of just one quantum associated…

General Physics · Physics 2012-02-08 C. Sivaram , Kenath Arun

We compute the time-dependent complexity of the thermofield double states by four different proposals: two holographic proposals based on the "complexity-action" (CA) conjecture and "complexity-volume" (CV) conjecture, and two quantum field…

High Energy Physics - Theory · Physics 2017-11-10 Keun-Young Kim , Chao Niu , Run-Qiu Yang , Cheng-Yong Zhang

Motivated by recent studies of quantum computational complexity in quantum field theory and holography, we discuss how weighting certain classes of gates building up a quantum circuit more heavily than others does affect the complexity.…

High Energy Physics - Theory · Physics 2021-09-15 Ibrahim Akal

Recent conjectures on the complexity of black holes suggest that their evolution manifests in the structural properties of Einstein-Rosen bridges, like the length and volume. The complexity of black holes relates to the computational…

High Energy Physics - Theory · Physics 2023-06-12 Marco Alberto Javarone

We study the complexity of holographic superconductors (Einstein-Maxwell-complex scalar actions in $d+1$ dimension) by the `complexity = volume' (CV) conjecture. First, it seems that there is a universal property: the superconducting phase…

High Energy Physics - Theory · Physics 2024-07-01 Run-Qiu Yang , Hyun-Sik Jeong , Chao Niu , Keun-Young Kim

We develop a method for obtaining exact time-dependent solutions in Jackiw-Teitelboim gravity coupled to non-conformal matter and study consequences for $NAdS_2$ holography. We study holographic quenches in which we find that the black hole…

High Energy Physics - Theory · Physics 2020-03-11 Lata Kh Joshi , Ayan Mukhopadhyay , Alexander Soloviev

In this work the effect of anisotropy on computational complexity is considered by CA proposal in holographic two-sided black brane dual of a strongly coupled gauge theory. It is shown that due to confinement-deconfinement phase transition…

High Energy Physics - Theory · Physics 2026-05-29 Mojtaba Shahbazi , Mehdi Sadeghi

The action growth proposal relates the holographic complexity to the value of the action on the Wheeler-de Witt patch. We introduce a new method of calculating the gravitational action using the "bulk" term, i.e. the part of the…

High Energy Physics - Theory · Physics 2024-05-22 Martin Krššák

We investigate the thermodynamic and holographic properties of charged and rotating quantum black holes in a doubly holographic braneworld setup. These quantum black holes are derived from the anti-de Sitter C-metric and are exact solutions…

High Energy Physics - Theory · Physics 2025-07-10 Dyuman Bhattacharya , Robie A. Hennigar , Robert B. Mann , Ming Zhang

This paper studies cross-sections inside black holes and conjectures a universal inequality: in a static $(d+1)$-dimensional asymptotically planar/spherical Schwarzschild-AdS spacetime of given energy $E$ and AdS radius $\ell_{\text{AdS}}$,…

High Energy Physics - Theory · Physics 2020-11-11 Run-Qiu Yang

A central problem in formulating a theory of quantum gravity is to determine the size and structure of the Hilbert space of black holes. Here we use a quantum dynamical Krylov complexity approach to calculate the Hilbert space dimension of…

High Energy Physics - Theory · Physics 2026-02-04 Vijay Balasubramanian , Rathindra Nath Das , Johanna Erdmenger , Jonathan Karl , Herman Verlinde

We consider the dependence of the recently proposed action/complexity duality conjecture on time and on the underlying topology of the bulk spacetime. For the former, we compute the dependence of the CFT complexity on a boundary temporal…

High Energy Physics - Theory · Physics 2018-07-13 Musema Sinamuli , Robert B. Mann

In this work we consider a spacial kind of spacetime called AdS accelerating black holes. This is a kind of black holes which contain a stringlike singularity along polar axises attached to the black hole and it accelerates the black hole.…

High Energy Physics - Theory · Physics 2023-05-10 Koichi Nagasaki

It is shown that holographic cosmology implies an evolving Hubble radius $c^{-1}\dot{R}_H = -1 + 3\Omega_m$ in the presence of a dimensionless matter density $\Omega_m$ scaled to the closure density $3H^2/8\pi G$, where $c$ denotes the…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Maurice H. P. M. van Putten