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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 study the late-time behaviors of pseudo-(R\'enyi) entropy of locally excited states in rational conformal field theories (RCFTs). To construct the transition matrix, we utilize two non-orthogonal locally excited states that are created…

High Energy Physics - Theory · Physics 2024-02-06 Song He , Jie Yang , Yu-Xuan Zhang , Zi-Xuan Zhao

In this paper, we use the replica approach to study the R\'enyi entropy $S_L$ of generic locally excited states in (1+1)D CFTs, which are constructed from the insertion of multiple product of local primary operators on vacuum.…

High Energy Physics - Theory · Physics 2018-06-21 Wu-zhong Guo , Song He , Zhu-Xi Luo

We study R\'enyi entropy of locally excited states with considering the thermal and boundary effects respectively in two dimensional conformal field theories (CFTs). Firstly we consider locally excited states obtained by acting primary…

High Energy Physics - Theory · Physics 2015-05-20 Wu-Zhong Guo , Song He

We study entanglement entropy of excited states in two dimensional conformal field theories (CFTs). Especially we consider excited states obtained by acting primary operators on a vacuum. We show that under its time evolution, entanglement…

High Energy Physics - Theory · Physics 2014-08-20 Song He , Tokiro Numasawa , Tadashi Takayanagi , Kento Watanabe

We study Renyi and von-Neumann entanglement entropy of excited states created by local operators in large N (or large central charge) CFTs. First we point that a naive large N expansion can break down for the von-Neumann entanglement…

High Energy Physics - Theory · Physics 2014-09-24 Pawel Caputa , Masahiro Nozaki , Tadashi Takayanagi

In this work, we investigate the time evolution of the pseudo-(R\'enyi) entropy after local primary operator quenches in 2D CFTs with $T\bar T/J\bar T$-deformation. Using perturbation theory, we analyze the corrections to the second…

High Energy Physics - Theory · Physics 2023-09-08 Song He , Jie Yang , Yu-Xuan Zhang , Zi-Xuan Zhao

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

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

We study the time evolution of Renyi entanglement entropy for locally excited states in two dimensional large central charge CFTs. It generically shows a logarithmical growth and we compute the coefficient of $\log t$ term. Our analysis…

High Energy Physics - Theory · Physics 2018-03-14 Yuya Kusuki , Tadashi Takayanagi

In this work we study the time evolution of Renyi entanglement entropy for locally excited states created by twist operators in cyclic orbifold $(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when the square of its…

High Energy Physics - Theory · Physics 2017-05-30 Pawel Caputa , Yuya Kusuki , Tadashi Takayanagi , Kento Watanabe

We show that in 1+1 dimensional conformal field theories, exciting a state with a local operator increases the Renyi entanglement entropies by a constant which is the same for every member of the conformal family. Hence, it is an intrinsic…

High Energy Physics - Theory · Physics 2015-09-23 Pawel Caputa , Alvaro Veliz-Osorio

In this work we study the time evolutions of (Renyi) entanglement entropy of locally excited states in two dimensional conformal field theories (CFTs) at finite temperature. We consider excited states created by acting with local operators…

High Energy Physics - Theory · Physics 2015-06-23 Pawel Caputa , Joan Simon , Andrius Stikonas , Tadashi Takayanagi

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 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

This is an expanded version of the short report arXiv:1401.0539, where we stud- ied the (Renyi) entanglement entropies for the excited state defined by acting a given local operator on the ground state. We introduced the (Renyi)…

High Energy Physics - Theory · Physics 2015-06-19 Masahiro Nozaki

Two-dimensional conformal field theories with a large central charge and a small number of low-dimension operators are studied using the conformal block expansion. A universal formula is derived for the Renyi entropies of N disjoint…

High Energy Physics - Theory · Physics 2013-03-29 Thomas Hartman

In this paper, we explore the concept of pseudo R\'enyi entropy within the context of quantum field theories (QFTs). The transition matrix is constructed by applying operators situated in different regions to the vacuum state. Specifically,…

High Energy Physics - Theory · Physics 2024-05-15 Wu-zhong Guo , Yaozong Jiang

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

In this paper, we regard the $T\bar{T}$/$J\bar{T}$-deformed CFTs as perturbation theories and calculate the first order correction of the correlation functions due to the $T\bar{T}$/$J\bar{T}$-deformation. As applications, we study the…

High Energy Physics - Theory · Physics 2020-02-19 Song He , Hongfei Shu
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