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In this paper, we will compute the holographic complexity (dual to a volume in AdS), holographic fidelity susceptibility and the holographic entanglement entropy (dual to an area in AdS) in a two-dimensional version of $AdS$ which is dual…

High Energy Physics - Theory · Physics 2018-06-07 Kazuharu Bamba , Davood Momeni , Mudhahir Al Ajmi

In this article, we investigate electrostatic systems with a nonzero cosmological constant on compact manifolds with boundary. We establish new geometric properties for electrostatic manifolds in higher dimensions, extending previous…

Differential Geometry · Mathematics 2026-01-16 Allan Freitas , Benedito Leandro , Ernani Ribeiro , Guilherme Sabo

A remarkable holographic feature of dynamics in AdS space in five dimensions is that it is dual to Hamiltonian theory in physical space-time, quantized at fixed light-front time {\tau} = t+z/c. This light-front holographic principle…

High Energy Physics - Phenomenology · Physics 2013-01-15 Stanley J. Brodsky , Guy F. de Téramond

In this work, we develop a systematic formalism to evaluate the upper bound of a large family of holographic entanglement entropy combinations when fixing $n$ subsystems and fine-tuning one other subsystem. The upper bound configurations…

High Energy Physics - Theory · Physics 2025-09-12 Xin-Xiang Ju , Ya-Wen Sun , Yang Zhao

Undecidability, a hallmark of G\"odel incompleteness theorems, has recently emerged in quantum many-body physics through the spectral gap problem. We demonstrate how this logical limitation can be holographically transmitted to a class of…

High Energy Physics - Theory · Physics 2026-02-02 Sameer Ahmad Mir , Francesco Marino , Arshid Shabir , Lawrence M. Krauss , Mir Faizal

In holography, the isometry group of the bulk spacetime corresponds to the symmetries of the boundary theory. We thus approach the question of whether (and when) scale invariance in combination with Poincar\'e invariance implies full…

High Energy Physics - Theory · Physics 2026-02-10 Lavish Chawla , Mario Flory

We embed spherical Rindler space -- a geometry with a spherical hole in its center -- in asymptotically AdS spacetime and show that it carries a gravitational entropy proportional to the area of the hole. Spherical AdS-Rindler space is…

High Energy Physics - Theory · Physics 2014-06-12 Vijay Balasubramanian , Borun D. Chowdhury , Bartlomiej Czech , Jan de Boer , Michal P. Heller

We apply the holographic principle to the Brans-Dicke cosmology. We analyze the holographic bound in both the Jordan and Einstein frames. The holographic bound is satisfied for both the k=0 and k=-1 universe, but it is violated for the k=1…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yungui Gong

We study universal spatial features of certain non-equilibrium steady states corresponding to flows of strongly correlated fluids over obstacles. This allows us to predict universal spatial features of far-from-equilibrium systems, which in…

High Energy Physics - Theory · Physics 2018-10-31 Igor Novak , Julian Sonner , Benjamin Withers

In this talk we entertain the possibility that the synthesis of general covariance and quantum mechanics requires an extension of the basic kinematical setup of quantum mechanics. According to the holographic principle, regions of spacetime…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vijay Balasubramanian , Jan de Boer , Djordje Minic

The holographic equilibration of a far-from-equilibrium strongly coupled gauge theory is investigated. The dynamics of a probe D7-brane in an AdS-Vaidya background is studied in the presence of an external time-dependent electric field.…

High Energy Physics - Theory · Physics 2017-11-22 M. Ali-Akbari , F. Charmchi

The AdS/CFT correspondence realises the holographic principle where information in the bulk of a space is encoded at its border. We are yet a long way from a full mathematical construction of AdS/CFT, but toy models in the form of…

High Energy Physics - Theory · Physics 2022-04-21 Harriet Apel , Tamara Kohler , Toby Cubitt

Tensor networks provide a natural framework for exploring holographic duality because they obey entanglement area laws. They have been used to construct explicit toy models realizing many interesting structural features of the AdS/CFT…

High Energy Physics - Theory · Physics 2016-11-07 Patrick Hayden , Sepehr Nezami , Xiao-Liang Qi , Nathaniel Thomas , Michael Walter , Zhao Yang

Almheiri, Dong, and Harlow [arXiv:1411.7041] proposed a highly illuminating connection between the AdS/CFT holographic correspondence and operator algebra quantum error correction (OAQEC). Here we explore this connection further. We derive…

Quantum Physics · Physics 2017-05-23 Fernando Pastawski , John Preskill

In this work, we generalize the graph-theoretic techniques used for the holographic entropy cone to study hypergraphs and their analogously-defined entropy cone. This allows us to develop a framework to efficiently compute entropies and…

Quantum Physics · Physics 2021-10-15 Ning Bao , Newton Cheng , Sergio Hernández-Cuenca , Vincent P. Su

This paper investigates the entanglement entropy inequality and explores the presentation of mutual information and conditional mutual information in kinematic space. Specifically, we examine the regions within kinematic space responsible…

High Energy Physics - Theory · Physics 2023-05-26 An Gong , Chong-Bin Chen , Fu-Wen Shu

We explore the holographic prescription for computing the refined R\'enyi entropies $\tilde S_n$ in the $n \to 0$ limit within the AdS$_{d+1}$/CFT$_d$ framework. This limit can be interpreted as a high-temperature regime with respect to the…

High Energy Physics - Theory · Physics 2025-12-16 Cesar A. Agón , Horacio Casini , Pedro J. Martinez

We show that holography imposes strong and general constraints on scalar field potentials in the string landscape, determined by the asymptotic structure of the underlying spacetime. Applying these holographic consistency conditions, we…

High Energy Physics - Theory · Physics 2025-12-10 Alek Bedroya , Paul J. Steinhardt

We give an elementary proof of the following property of unitary, interacting four-dimensional $\mathcal{N}=2$ superconformal field theories: at large central charge $c$, there exist at least $\sqrt{c}$ single-trace, scalar superconformal…

High Energy Physics - Theory · Physics 2024-03-01 Eric Perlmutter

In this paper, we extend the study of wave packets from the AdS$_3$/CFT$_2$ correspondence to AdS$_4$/CFT$_3$ and examine properties of their energy density. We find that, while the energy still localizes on the light cone, its spatial…

High Energy Physics - Theory · Physics 2025-03-31 Norihiro Tanahashi , Seiji Terashima , Shiki Yoshikawa