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Related papers: A note on entanglement entropy for topological int…

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In this paper we consider entanglement entropies in two-dimensional conformal field theories in the presence of topological interfaces. Tracing over one side of the interface, the leading term of the entropy remains unchanged. The interface…

High Energy Physics - Theory · Physics 2016-11-03 Enrico M. Brehm , Ilka Brunner , Daniel Jaud , Cornelius Schmidt-Colinet

In this note we calculate the holographic entanglement entropy in the presence of a conformal interface for a geometric configuration in which the entangling region ${\cal A}$ lies on one side of the interface. For the supersymmetric Janus…

High Energy Physics - Theory · Physics 2016-01-20 Michael Gutperle , John D. Miller

We consider entanglement through permeable junctions of $N$ $(1+1)$-dimensional free boson and free fermion conformal field theories. In the folded picture we constrain the form of the general boundary state. We calculate replicated…

High Energy Physics - Theory · Physics 2017-05-31 Michael Gutperle , John D. Miller

We consider entanglement through permeable interfaces in the c=1 (1+1)-dimensional conformal field theory. We compute the partition functions with the interfaces inserted. By the replica trick, the entanglement entropy is obtained…

High Energy Physics - Theory · Physics 2008-12-18 Kazuhiro Sakai , Yuji Satoh

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…

High Energy Physics - Theory · Physics 2021-09-08 Tatsuma Nishioka , Tadashi Takayanagi , Yusuke Taki

We study the change in topological entanglement entropy that occurs when a two-dimensional system in a topologically ordered phase undergoes a transition to another such phase due to the formation of a Bose condensate. We also consider the…

Strongly Correlated Electrons · Physics 2010-06-11 F. A. Bais , J. K. Slingerland

In this note, we use entanglement entropy as a tool to explore the universal properties of CFTs dual to extremal BTZ black holes. We demonstrate that the entanglement entropies computed in the CFTs at the boundary of the extremal BTZ and…

High Energy Physics - Theory · Physics 2014-02-26 Pawel Caputa , Vishnu Jejjala , Hesam Soltanpanahi

We provide a field-theoretic method to calculate entanglement entropy of CFT in all dimensions. This method works for entangling surfaces of arbitrary shape. The formalism manifests a field-theoretic proof of the Ryu-Takayanagi formula.

High Energy Physics - Theory · Physics 2026-01-06 Xin Jiang , Haitang Yang

The entanglement entropy of intervals in $1+1$ interface CFTs is modified in two ways compared to a CFT without interface: there is a finite boundary entropy contribution, and, for an interval with an endpoint at the interface, the…

High Energy Physics - Theory · Physics 2026-05-01 Evangelos Afxonidis , Ignacio Carreño Bolla , Carlos Hoyos , Andreas Karch

We study the relative entanglement entropies of one interval between excited states of a 1+1 dimensional conformal field theory (CFT). To compute the relative entropy $S(\rho_1 \| \rho_0)$ between two given reduced density matrices $\rho_1$…

High Energy Physics - Theory · Physics 2017-02-14 Paola Ruggiero , Pasquale Calabrese

We address several aspects of entanglement entropy of 2D interface CFT using the replica method. Unlike the case of boundary CFT, we consider the boundary OPE (BOPE) of the R\'enyi twist operator and find a boundary twist operator anchored…

High Energy Physics - Theory · Physics 2026-05-08 Mianqi Wang

We study the entanglement entropy in 1+1 dimensional conformal field theories in the presence of interfaces from a holographic perspective. Compared with the well-known case of boundary conformal field theories, interfaces allow for several…

High Energy Physics - Theory · Physics 2023-08-22 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

{In 1+1 dimensional conformal field theory with a boundary the boundary contribution to the entanglement entropy is determined by a single number $g$ effectively counting the boundary degrees of freedom. In contrast, in 1+1 dimensional…

High Energy Physics - Theory · Physics 2025-04-02 Evangelos Afxonidis , Andreas Karch , Chitraang Murdia

We apply the universal method developed in \cite{Jiang:2025jnk} to compute the entanglement entropy between two tangent balls in CFT$_D$. When taking the radius of one ball to infinity, it gives the entanglement entropy between a ball and…

High Energy Physics - Theory · Physics 2025-12-09 Jiankun Li , Li Song

We study the entanglement entropy between (possibly distinct) topological phases across an interface using an Abelian Chern-Simons description with topological boundary conditions (TBCs) at the interface. From a microscopic point of view,…

Strongly Correlated Electrons · Physics 2017-11-09 Jackson R. Fliss , Xueda Wen , Onkar Parrikar , Chang-Tse Hsieh , Bo Han , Taylor L. Hughes , Robert G. Leigh

Topological interfaces of two-dimensional conformal field theories contain information about symmetries of the theory and exhibit striking spectral and entanglement characteristics. While lattice realizations of these interfaces have been…

Strongly Correlated Electrons · Physics 2023-12-12 Ananda Roy , Hubert Saleur

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…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri V. Fursaev

In this paper, we study gapped edges/interfaces in a 2+1 dimensional bosonic topological order and investigate how the topological entanglement entropy is sensitive to them. We present a detailed analysis of the Ishibashi states describing…

High Energy Physics - Theory · Physics 2019-04-24 Jiaqi Lou , Ce Shen , Ling-Yan Hung

We review the conformal field theory approach to entanglement entropy. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, and the generalization to different situations such as finite…

Statistical Mechanics · Physics 2009-12-08 Pasquale Calabrese , John Cardy

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

High Energy Physics - Theory · Physics 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao
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