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We investigate the short interval expansion of the R\'enyi entropy for two-dimensional conformal field theory (CFT) on a torus. We require the length of the interval $\ell$ to be small with respect to the spatial and temporal sizes of the…

High Energy Physics - Theory · Physics 2016-08-31 Bin Chen , Jun-Bao Wu , Jia-ju Zhang

In this paper, we extend our study of the holographic R\'enyi entropy of single interval on a torus to the CFT with W symmetry. To read the possible corrections from W fields clearly, we compute the thermal correction to the R\'enyi entropy…

High Energy Physics - Theory · Physics 2015-09-09 Bin Chen , Jie-qiang Wu , Ze-chuan Zheng

In this paper we investigate the holographic R\'enyi entropy of two disjoint intervals on complex plane with small cross ratio $x$ for conformal field theory with $W$ symmetry in the ground state, which could be dual to a higher spin…

High Energy Physics - Theory · Physics 2014-05-20 Bin Chen , Jiang Long , Jia-ju Zhang

We propose a field theoretic framework for calculating the dependence of R\'enyi entropies on the shape of the entangling surface in a conformal field theory. Our approach rests on regarding the corresponding twist operator as a conformal…

High Energy Physics - Theory · Physics 2016-08-24 Lorenzo Bianchi , Marco Meineri , Robert C. Myers , Michael Smolkin

The R\'enyi entropy for the $\widehat{\rm SU}(N)_1$ WZW model as described by $N$ free fermions coupled to a $U(1)$ constraint field is computed on an $n$-sheeted branched torus. The boundary condition of the harmonic component of the gauge…

High Energy Physics - Theory · Physics 2016-11-11 Howard J. Schnitzer

In this paper, we calculate the R\'enyi entropy of one single interval on a circle at finite temperature in 2D CFT. In the low temperature limit, we expand the thermal density matrix level by level in the vacuum Verma module, and calculate…

High Energy Physics - Theory · Physics 2015-06-19 Bin Chen , Jie-qiang Wu

In this paper, we study the holographic R\'enyi entropy of a large interval on a circle at high temperature for the two-dimensional conformal field theory (CFT) dual to pure AdS$_3$ gravity. In the field theory, the R\'enyi entropy is…

High Energy Physics - Theory · Physics 2015-11-11 Bin Chen , Jie-qiang Wu

We calculate the contributions of a general non-vacuum conformal family to R\'enyi entropy in two-dimensional conformal field theory (CFT). The primary operator of the conformal family can be either non-chiral or chiral, and we denote its…

High Energy Physics - Theory · Physics 2017-06-13 Jia-ju Zhang

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

The $\sun1$ WZW model is constructed on a n-sheeted branched torus, which allows the investigation of the R\'enyi entropy for a single interval at finite temperature. The small and large interval limits, as well as the low temperature…

High Energy Physics - Theory · Physics 2016-05-04 Howard J. Schnitzer

In this paper, we propose a novel expansion to compute the large interval limit of the R\'enyi entropy of 2D CFT at high temperature. Via the replica trick, the single interval R\'enyi entropy of 2D CFT at finite temperature could be read…

High Energy Physics - Theory · Physics 2015-12-16 Bin Chen , Jie-qiang Wu

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

We present a general method for calculating R\'enyi entropies in the ground state of a one-dimensional critical system with mixed open boundaries, for an interval starting at one of its ends. In the conformal field theory framework, this…

Statistical Mechanics · Physics 2025-11-12 Benoit Estienne , Yacine Ikhlef , Andrei Rotaru

We compute the $N=2$ R\'enyi entanglement entropy of two intervals at equal time in a circle, for the theory of a 2d compact complex free scalar at finite temperature. This is carried out by performing functional integral on a genus 3…

High Energy Physics - Theory · Physics 2016-02-17 Feihu Liu , Xiao Liu

We analytically evaluate the Renyi entropies for the two dimensional free boson CFT. The CFT is considered to be compactified on a circle and at finite temperature. The Renyi entropies S_n are evaluated for a single interval using the two…

High Energy Physics - Theory · Physics 2014-04-15 Shouvik Datta , Justin R. David

Entanglement and the R\'enyi entropies for Dirac fermions on 2 dimensional torus in the presence of chemical potential, current source, and topological Wilson loop are unified in a single framework by exhausting all the ingredients of the…

High Energy Physics - Theory · Physics 2022-01-19 Bom Soo Kim

We introduce and study generalized R\'enyi entropies defined through the traces of products of ${\rm Tr}_B (|\Psi_i\rangle\langle \Psi_j|)$ where $|\Psi_i\rangle$ are eigenstates of a two-dimensional conformal field theory (CFT). When…

High Energy Physics - Theory · Physics 2022-09-21 Sara Murciano , Pasquale Calabrese , Robert M. Konik

We investigate the R\'enyi entropy and entanglement entropy of an interval with an arbitrary length in the canonical ensemble, microcanonical ensemble and primary excited states at large energy density in the thermodynamic limit of a…

High Energy Physics - Theory · Physics 2019-08-08 Wu-zhong Guo , Feng-Li Lin , Jiaju Zhang

In this work, we study the real-time evolution of pseudo-(R\'enyi) entropy, a generalization of entanglement entropy, in two-dimensional conformal field theories (CFTs). We focus on states obtained by acting primary operators located at…

High Energy Physics - Theory · Physics 2022-09-28 Wu-zhong Guo , Song He , Yu-Xuan Zhang

We compute the entanglement entropy in a two dimensional conformal field theory at finite size and finite temperature in the large central charge limit via the replica trick. We first generalize the known monodromy method for the…

High Energy Physics - Theory · Physics 2024-10-30 Marius Gerbershagen
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