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This note presents a purely geometric construction of the so-called twist-field correlation functions in Conformal Field Theory (CFT), derived from conical singularities. This approach provides a purely mathematical interpretation of the…

高能物理 - 理论 · 物理学 2025-02-03 Benoit Estienne , Jiasheng Lin

This review explores recent advances in the theory of $T\bar{T}$ deformation, an irrelevant yet solvable deformation of quantum field theories defined via the quadratic form of the energy-momentum tensor. It addresses classical and quantum…

高能物理 - 理论 · 物理学 2025-05-13 Song He , Yi Li , Hao Ouyang , Yuan Sun

Charged and symmetry-resolved R\'enyi entropies are entanglement measures quantifying the degree of entanglement within different charge sectors of a theory with a conserved global charge. We use holography to determine the dependence of…

高能物理 - 理论 · 物理学 2022-07-12 Stefano Baiguera , Lorenzo Bianchi , Shira Chapman , Damián A. Galante

It is conventional to study the entanglement between spatial regions of a quantum field theory. However, in some systems entanglement can be dominated by "internal", possibly gauged, degrees of freedom that are not spatially organized, and…

高能物理 - 理论 · 物理学 2015-06-22 Vijay Balasubramanian , Borun D. Chowdhury , Bartlomiej Czech , Jan de Boer

It is pointed out that the entanglement entropy of quantum fields near the horizon of a two-dimensional black hole can be derived by means of the conformal field theory. This can be done in a way analogous to the computation of the entropy…

高能物理 - 理论 · 物理学 2007-05-23 Dmitri V. Fursaev

We study entanglement entropy for ball-shaped regions in excited states of holographic conformal field theories. The excited states are prepared by the Euclidean path integral in the CFT with a source turned on for some double-trace…

高能物理 - 理论 · 物理学 2026-04-15 Abhirup Bhattacharya , Onkar Parrikar

It was proposed by Ryu and Takayanagi that the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk. We apply this holographic geometrical method of…

高能物理 - 理论 · 物理学 2014-06-11 Pavel Krtous , Andrei Zelnikov

We compute holographic timelike entanglement entropy for quantum BTZ black holes in a Karch-Randall braneworld scenario. These black holes are exact solutions of massive 3d gravity on the brane and are conjectured to be dual to thermal…

高能物理 - 理论 · 物理学 2025-09-03 Dibakar Roychowdhury

We consider free fermion and free boson CFTs in two dimensions, deformed by a chemical potential $\mu$ for the spin-three current. For the CFT on the infinite spatial line, we calculate the finite temperature entanglement entropy of a…

高能物理 - 理论 · 物理学 2015-06-18 Shouvik Datta , Justin R. David , Michael Ferlaino , S. Prem Kumar

In this paper, we develop a method to extract the Bekenstein-Hawking entropy of $D$-dimensional black holes using the entanglement entropy of a lower-dimensional conformal field theory (CFT). This approach relies on two key observations. On…

高能物理 - 理论 · 物理学 2026-03-05 Shuxuan Ying

We study entanglement entropy (EE) in conformal field theories (CFTs) in Minkowski space with a planar boundary or with a planar defect of any codimension. In any such boundary CFT (BCFT) or defect CFT (DCFT), we consider the reduced…

高能物理 - 理论 · 物理学 2013-11-27 Kristan Jensen , Andy O'Bannon

We study the entropy of chiral 2+1-dimensional topological phases, where there are both gapped bulk excitations and gapless edge modes. We show how the entanglement entropy of both types of excitations can be encoded in a single partition…

统计力学 · 物理学 2008-11-26 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

We investigate the robustness of the Araki-Lieb inequality in a two-dimensional (2D) conformal field theory (CFT) on torus. The inequality requires that $\Delta S=S(L)-|S(L-\ell)-S(\ell)|$ is nonnegative, where $S(L)$ is the thermal entropy…

高能物理 - 理论 · 物理学 2017-10-09 Bin Chen , Zhibin Li , Jia-ju Zhang

We study entanglement entropy inequalities in boundary conformal field theory (BCFT) by holographic correspondence. By carefully classifying all the configurations for different phases, we prove the strong subadditiviy and the monogamy of…

高能物理 - 理论 · 物理学 2021-03-17 Chia-Jui Chou , Bo-Han Lin , Bin Wang , Yi Yang

Recent work has revealed that entanglement entropy growth in conformal field theories (CFTs) can be suppressed when a local operator quench interacts with a mixed-state excitation, providing a dual interpretation in terms of black hole…

量子物理 · 物理学 2025-10-21 Davood Momeni

The Renyi entropies and entanglement entropy of 1+1 CFTs with gravity duals can be computed by explicit construction of the bulk spacetimes dual to branched covers of the boundary geometry. At the classical level in the bulk this has…

高能物理 - 理论 · 物理学 2013-12-16 Taylor Barrella , Xi Dong , Sean A. Hartnoll , Victoria L. Martin

We propose a covariant holographic conjecture for the entanglement negativity of mixed states in bipartite systems described by $d$-dimensional conformal field theories dual to bulk non static $AdS_{d+1}$ configurations. Application of our…

高能物理 - 理论 · 物理学 2022-08-31 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta

Black holes in 2+1 dimensions enjoy long range topological interactions similar to those of non-abelian anyon excitations in a topologically ordered medium. Using this observation, we compute the topological entanglement entropy of BTZ…

高能物理 - 理论 · 物理学 2015-06-16 Lauren McGough , Herman Verlinde

In this paper, we make use of holographic Boundary Conformal Field Theory (BCFT) to simulate the black hole information problem in the semi-classical picture. We investigate the correlation between a portion of Hawking radiation and…

高能物理 - 理论 · 物理学 2023-12-25 Yi-Yu Lin , Jun Zhang , Jie-Chen Jin

We investigate the entanglement entropy of a two-dimensional disordered system holographically. In particular, we study the evolution of the entanglement entropy along renormalization group flows for a conformal theory at the UV fixed…

高能物理 - 理论 · 物理学 2019-03-06 Rajesh Narayanan , Chanyong Park , Yun-Long Zhang