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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 concept of time-like entanglement entropy (tEE) within the framework of holography. We introduce a robust top-down prescription for computing tEE in higher-dimensional QFTs, both conformal and confining, eliminating the…

High Energy Physics - Theory · Physics 2025-07-14 Carlos Nunez , Dibakar Roychowdhury

We explore the holographic time-like entanglement entropy (TEE) in the boundary theory of three-dimensional Lifshitz spacetime. There have been various holographic proposals for TEE in recent years and we test those proposals in the…

High Energy Physics - Theory · Physics 2024-12-18 Siddhi Swarupa Jena , Subhash Mahapatra

The holographic entanglement entropies (HEE) associated with four dimensional Schwarzschild and Reisner-Nordstr\"om black holes in asymptotically Minkowski spacetimes are investigated. Unlike the cases of asymptotically AdS spacetimes for…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Yuan Sun , Liu Zhao

Topological entanglement entropy (TEE), the sub-leading term in the entanglement entropy of topological order, is the direct evidence of the long-range entanglement. While effective in characterizing topological orders on closed manifolds,…

Strongly Correlated Electrons · Physics 2023-12-04 Yingcheng Li

We investigate the holographic timelike entanglement entropy (HTEE) and timelike subregion complexity of a thermal CFT$_d$ deformed by a relevant scalar operator $\phi_0$, dual to a hairy black hole in AdS$_{d+1}$. We employ the…

We discuss entanglement entropy of gapped ground states in different dimensions, obtained on partitioning space into two regions. For trivial phases without topological order, we argue that the entanglement entropy may be obtained by…

Strongly Correlated Electrons · Physics 2011-12-12 Tarun Grover , Ari M. Turner , Ashvin Vishwanath

We define a new complex-valued measure of information called the timelike entanglement entropy (EE) which in the boundary theory can be viewed as a Wick rotation that changes a spacelike boundary subregion to a timelike one. An explicit…

High Energy Physics - Theory · Physics 2025-08-06 Kazuki Doi , Jonathan Harper , Ali Mollabashi , Tadashi Takayanagi , Yusuke Taki

We compute the time-dependent entanglement entropy of a CFT which starts in relatively simple initial states. The initial states are the thermofield double for thermal states, dual to eternal black holes, and a particular pure state, dual…

High Energy Physics - Theory · Physics 2015-06-15 Thomas Hartman , Juan Maldacena

Time-dependent entanglement entropy (EE) is computed for a single interval in two-dimensional conformal theories from a quenched initial state in the presence of spatial boundaries. The EE is found to be periodic in time with periodicity…

High Energy Physics - Theory · Physics 2016-04-28 Gautam Mandal , Ritam Sinha , Tomonori Ugajin

We study the timelike entanglement entropy (TEE) in two dimensional conformal field theories (CFT) with gravitational anomalies. We employ analytical continuation to compute the timelike entanglement entropy for a pure timelike interval in…

High Energy Physics - Theory · Physics 2025-08-08 Chong-Sun Chu , Himanshu Parihar

Topological entanglement entropy (TEE) is an efficient way to detect topological order in the ground state of gapped Hamiltonians. The seminal work of Kitaev and Preskill~\cite{preskill-kitaev-tee} and simultaneously by Levin and…

Quantum Physics · Physics 2026-05-05 Joydeep Naskar , Sai Satyam Samal

We introduce the concept of timelike entanglement entropy of Hawking radiation as a novel probe of the black hole information paradox. By analytically continuing black hole spacetimes to Euclidean signature, we define timelike correlations…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Yahya Ladghami , Francisco S. N. Lobo , Taoufik Ouali

We calculate the topological entanglement entropy (TEE) in Euclidean asymptotic AdS3 spacetime using surgery. The treatment is intrinsically three-dimensional. In the BTZ black hole background, several different bipartitions are applied.…

High Energy Physics - Theory · Physics 2017-12-27 Zhu-Xi Luo , Hao-Yu Sun

We develop a holographic framework for computing timelike entanglement entropy (tEE) in quantum field theories, extending the Ryu-Takayanagi prescription into Lorentzian settings. Using three broad classes of supergravity backgrounds, we…

High Energy Physics - Theory · Physics 2025-10-21 Carlos Nunez , Dibakar Roychowdhury

Topological phases are unique states of matter which support non-local excitations which behave as particles with fractional statistics. A universal characterization of gapped topological phases is provided by the topological entanglement…

Strongly Correlated Electrons · Physics 2013-09-10 Hong-Chen Jiang , Rajiv R. P. Singh , Leon Balents

Entanglement entropy first arose from attempts to understand the entropy of black holes, and is believed to play a crucial role in a complete description of quantum gravity. This thesis explores some proposed connections between…

High Energy Physics - Theory · Physics 2018-08-14 Antony J. Speranza

We show that extremal black holes have zero entropy by pointing out a simple fact: they are time-independent throughout the spacetime and correspond to a single classical microstate. We show that non-extremal black holes, including the…

General Relativity and Quantum Cosmology · Physics 2011-03-18 Ariel Edery , Benjamin Constantineau

We study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Christopher Eling , Ted Jacobson

The consideration of timelike boundaries in de Sitter static patches has a broad motivation, such as the formulation of a well-defined canonical ensemble and the realization of a natural framework for static patch holography. In this work…

High Energy Physics - Theory · Physics 2025-09-17 Timofei Rusalev
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