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Ryu and Takayanagi conjectured a formula for the entanglement (von Neumann) entropy of an arbitrary spatial region in an arbitrary holographic field theory. The von Neumann entropy is a special case of a more general class of entropies…

高能物理 - 理论 · 物理学 2013-01-04 Matthew Headrick

Euclidean wormholes -- geometries which connect disconnected boundaries -- present a challenge to a standard quantum mechanical interpretation of the theory. One potential resolution is that the gravitational path integral computes the…

高能物理 - 理论 · 物理学 2021-03-03 Netta Engelhardt , Sebastian Fischetti , Alexander Maloney

We construct an entropy current and establish a local version of the classical second law of thermodynamics for dynamical black holes in Chern-Simons (CS) theories of gravity. We work in a chosen set of Gaussian null coordinates and assume…

高能物理 - 理论 · 物理学 2023-11-23 Ishan Deo , Prateksh Dhivakar , Nilay Kundu

We investigate the holographic R\'enyi entropy for two-dimensional $\mathcal N=(2,2)$ superconformal field theory (SCFT), which is dual to $\mathcal N=2$ supergravity in AdS$_3$ background. In SCFT we have the stress tensor, current, and…

高能物理 - 理论 · 物理学 2017-06-23 Zhibin Li , Jia-ju Zhang

Is it possible to read off the quantum gravity dual of a CFT directly from its operator algebra? In this essay, we present a step-by-step recipe synthesizing results and techniques from conformal bootstrap, topological symmetries, tensor…

高能物理 - 理论 · 物理学 2024-04-02 Ling-Yan Hung , Yikun Jiang

We study a class of quantum states involving multiple entangled CFTs in AdS$_3$/CFT$_2$, associated with multi-boundary black hole geometries, and demonstrate that the Ryu-Takayanagi (RT) formula for entanglement entropy can be derived…

高能物理 - 理论 · 物理学 2026-01-01 Ning Bao , Hao Geng , Yikun Jiang

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…

高能物理 - 理论 · 物理学 2025-08-08 Chong-Sun Chu , Himanshu Parihar

We present a new type of generalization of the Renyi entropy that follows naturally from its representation as a thermodynamic quantity. We apply it to the case of d-dimensional conformal field theories (CFTs) reduced on a region bounded by…

高能物理 - 理论 · 物理学 2019-05-29 Clifford V. Johnson

The information paradox can be realized in anti-de Sitter spacetime joined to a Minkowski region. In this setting, we show that the large discrepancy between the von Neumann entropy as calculated by Hawking and the requirements of unitarity…

高能物理 - 理论 · 物理学 2020-05-20 Ahmed Almheiri , Thomas Hartman , Juan Maldacena , Edgar Shaghoulian , Amirhossein Tajdini

We study the analytic continuation used by Lewkowycz and Maldacena to prove the Ryu-Takayanagi formula for entanglement entropy, which is the holographic dual of the trace of the $\beta$-power of the time evolution operator when $\beta\in…

高能物理 - 理论 · 物理学 2015-05-27 Andrea Prudenziati

We set up a new version of black hole information paradox in an eternal Narayan black hole, a generic two-dimensional dilaton gravity theory with non-trivial on-shell bulk action and a product of dimensional reduction from…

高能物理 - 理论 · 物理学 2023-03-01 Yueren Xing

Applying a rule-based holographic method, we investigate the reconstruction of dual gravity theories from the quantum field theory (QFT) data, specifically entanglement entropy. We first derive a three-dimensional black hole geometry from…

高能物理 - 理论 · 物理学 2026-04-03 Jaehyeok Huh , Chanyong Park

We present a general framework for reconstructing effective Hamiltonians from known gravitational energy density profiles in curved spacetime. Starting from local thermal equilibrium and Liouville dynamics, we establish an inverse procedure…

广义相对论与量子宇宙学 · 物理学 2025-08-12 Davood Momeni

In the context of the holographic duality, the entanglement entropy of ordinary QFT in a subregion in the boundary is given by a quarter of the area of an minimal surface embedded in the bulk spacetime. This rule has been also extended to a…

高能物理 - 理论 · 物理学 2020-08-26 Marcelo Botta-Cantcheff , Pedro J. Martinez , Juan F. Zarate

We demonstrate that, by utilizing the boundary conformal field theory (BCFT) operator algebra of the Liouville CFT, one can express its path-integral on any Riemann surface as a three dimensional path-integral with appropriate boundary…

高能物理 - 理论 · 物理学 2025-12-29 Lin Chen , Ling-Yan Hung , Yikun Jiang , Bing-Xin Lao

Gravitational R\'enyi computations have traditionally been described in the language of Euclidean path integrals. In the semiclassical limit, such calculations are governed by Euclidean (or, more generally, complex) saddle-point geometries.…

高能物理 - 理论 · 物理学 2025-01-23 Jesse Held , Xiaoyi Liu , Donald Marolf , Zhencheng Wang

We study holographic entanglement entropy in four-dimensional quantum gravity with negative cosmological constant. By using the replica trick and evaluating path integrals in the minisuperspace approximation, in conjunction with the…

高能物理 - 理论 · 物理学 2020-04-15 Shinji Hirano

We interpret appropriate families of Euclidean wormhole solutions of AdS$_3$ gravity in individual 2d CFTs as replica wormholes described by branching around the time-symmetric apparent horizons of black holes sourced by the backreaction of…

高能物理 - 理论 · 物理学 2023-05-15 Jeevan Chandra

We explicitly reconstruct the metric of a gravity dual to field theories using known entanglement entropies using the Ryu-Takayanagi formula. We use for examples CFT's in $d = 1$, 2 and 3 as well as CFT on a circle of length $L$ and a…

高能物理 - 理论 · 物理学 2013-11-21 Michael Spillane

We introduce a pseudo entropy extension of topological entanglement entropy called topological pseudo entropy. Various examples of the topological pseudo entropies are examined in three-dimensional Chern-Simons gauge theory with Wilson loop…

高能物理 - 理论 · 物理学 2021-09-08 Tatsuma Nishioka , Tadashi Takayanagi , Yusuke Taki