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Related papers: A universal feature of CFT Renyi entropy

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In this paper, we consider the R\'enyi entanglement asymmetry of excited states in the 1+1 dimensional free compact boson conformal field theory (CFT) at equilibrium. We obtain a universal CFT expression written by correlation functions for…

High Energy Physics - Theory · Physics 2023-12-19 Miao Chen , Hui-Huang Chen

We give a recipe for computing correlation functions of the displacement operator localized on a spherical or planar higher dimensional twist defect using AdS/CFT. Such twist operators are typically used to construct the $n$'th Renyi…

High Energy Physics - Theory · Physics 2017-09-06 Srivatsan Balakrishnan , Souvik Dutta , Thomas Faulkner

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 dynamics of the geometric entanglement entropy of a 2D CFT in the presence of a boundary. We show that this dynamics is governed by local equations of motion, that take the same form as 2D Jackiw-Teitelboim gravity coupled to…

High Energy Physics - Theory · Physics 2019-06-05 Nele Callebaut , Herman Verlinde

We use a mix of field theoretic and holographic techniques to elucidate various properties of quantum entanglement entropy. In (3+1)-dimensional conformal field theory we study the divergent terms in the entropy when the entangling surface…

High Energy Physics - Theory · Physics 2012-07-13 Igor R. Klebanov , Tatsuma Nishioka , Silviu S. Pufu , Benjamin R. Safdi

We consider the problem of computing semi-classical R\'enyi entropies of CFT on AdS$_2$ backgrounds in JT gravity with nongravitating baths, for general replica number $n$. Away from the $n\to 1$ limit, the backreaction of the CFT twist…

High Energy Physics - Theory · Physics 2024-06-25 Timothy J. Hollowood , S. Prem Kumar , Luke C. Piper

We compute genus two partition functions in two dimensional conformal field theories at large central charge, focusing on surfaces that give the third Renyi entropy of two intervals. We compute this for generalized free theories and for…

High Energy Physics - Theory · Physics 2017-10-25 Alexandre Belin , Christoph A. Keller , Ida G. Zadeh

We calculate the time evolution of the entanglement entropy in a 1+1 CFT with a holographic dual when there is a localized left-moving packet of energy density. We find the gravity result agrees with a field theory result derived from the…

High Energy Physics - Theory · Physics 2013-07-10 Matthew M. Roberts

We calculate the amount of entanglement shared by two intervals in the ground state of a (1+1)-dimensional conformal field theory (CFT), quantified by an entanglement measure $\mathcal{E}$ based on the computable cross norm (CCNR)…

Statistical Mechanics · Physics 2023-03-28 Chao Yin , Zhenhuan Liu

We introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS background. We start by reviewing some general concepts of CFT, including the embedding space formalism. We then consider QFT in a fixed AdS background and…

High Energy Physics - Theory · Physics 2016-12-21 Joao Penedones

We explore the role of sandwiched Renyi relative entropy in AdS/CFT and in finite-dimensional models of holographic quantum error correction. In particular, in the context of operator algebra quantum error correction, we discuss a suitable…

High Energy Physics - Theory · Physics 2022-04-19 Reginald J. Caginalp

In this note, I revisit the problem of computing the entanglement entropy of a single interval in the ground state of a 2d CFT. I write the leading-order result in three different ways: once by doing the replica trick with the…

High Energy Physics - Theory · Physics 2021-10-25 Jennifer Lin

We describe a holographic approach to explicitly compute the universal logarithmic contributions to entanglement and Renyi entropies for free conformal scalar and spinor fields on even-dimensional spheres. This holographic derivation…

High Energy Physics - Theory · Physics 2015-06-22 R. Aros , F. Bugini , D. E. Diaz

In this study, we calculate the $m-1$ correction to the reflected entropy for two adjacent intervals on a half-infinite line within the AdS$_3$/BCFT$_2$ framework, where $m$ is a Renyi index for a canonical purification. We utilize the…

High Energy Physics - Theory · Physics 2025-06-18 Byoungjoon Ahn , Sang-Eon Bak , Keun-Young Kim , Mitsuhiro Nishida

We evaluate one-interval R\'enyi entropy and entanglement entropy for the excited states of two-dimensional conformal field theory (CFT) on a cylinder, and examine their differences from the ones for the thermal state. We assume the…

High Energy Physics - Theory · Physics 2016-11-29 Feng-Li Lin , Huajia Wang , Jia-ju Zhang

Recently, the reflected entropy is proposed in holographic approach to describe the entanglement of a bipartite quantum system in a mixed state, which is identified as the area of the reflected minimal surface inside the entanglement wedge.…

High Energy Physics - Theory · Physics 2022-02-08 Yi Ling , Peng Liu , Yuxuan Liu , Chao Niu , Zhuo-Yu Xian , Cheng-Yong Zhang

R\'enyi entanglement entropy provides a new window to study the AdS/CFT correspondence. In this paper we consider the short interval expansion of R\'enyi entanglement entropy in two-dimensional conformal field theory. This amounts to do the…

High Energy Physics - Theory · Physics 2013-12-19 Bin Chen , Jia-ju Zhang

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…

High Energy Physics - Theory · Physics 2025-02-03 Benoit Estienne , Jiasheng Lin

We use holography in order to study the entanglement entropy for a spherical entangling surface in a FRW background with an arbitrary time dependence of the scale factor. The calculation is done in various dimensions, allowing for nonzero…

High Energy Physics - Theory · Physics 2021-07-07 D. Giataganas , N. Tetradis

We generalize the topological entanglement entropy to a family of topological Renyi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that,…

Strongly Correlated Electrons · Physics 2010-01-05 Steven T. Flammia , Alioscia Hamma , Taylor L. Hughes , Xiao-Gang Wen