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Every conformal field theory (CFT) above two dimensions contains an infinite set of Regge trajectories of local operators which, at large spin, asymptote to "double-twist" composites with vanishing anomalous dimension. In two dimensions,…

High Energy Physics - Theory · Physics 2019-06-26 Scott Collier , Yan Gobeil , Henry Maxfield , Eric Perlmutter

We use the techniques in symmetric orbifolding to calculate the Entanglement Entropy of a single interval in a two dimensional conformal field theory on a circle which is excited to a pure highest weight state. This is achieved by…

High Energy Physics - Theory · Physics 2012-08-17 Amir Esmaeil Mosaffa

We compute the contribution of the vacuum Virasoro representation to the genus-two partition function of an arbitrary CFT with central charge $c>1$. This is the perturbative pure gravity partition function in three dimensions. We employ a…

High Energy Physics - Theory · Physics 2015-11-19 Matthew Headrick , Alexander Maloney , Eric Perlmutter , Ida G. Zadeh

An entanglement Renyi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the Renyi entropy is computed in 4D conformal N=4…

High Energy Physics - Theory · Physics 2015-06-03 Dmitri V. Fursaev

We mainly study the R\'enyi entropy and entanglement entropy of the states locally excited by the descendent operators in two dimensional conformal field theories (CFTs). In rational CFTs, we prove that the increase of entanglement entropy…

High Energy Physics - Theory · Physics 2015-08-10 Bin Chen , Wu-Zhong Guo , Song He , Jie-qiang Wu

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 study O(n)-symmetric two-dimensional conformal field theories (CFTs) for a continuous range of n below two. These CFTs describe the fixed point behavior of self-avoiding loops. There is a pair of known fixed points connected by an RG…

High Energy Physics - Theory · Physics 2021-12-16 Victor Gorbenko , Bernardo Zan

Using a Corner Transfer Matrix approach, we compute the bipartite entanglement R\'enyi entropy in the off-critical perturbations of non-unitary conformal minimal models realised by lattice spin chains Hamiltonians related to the Forrester…

High Energy Physics - Theory · Physics 2016-07-18 Davide Bianchini , Francesco Ravanini

Entanglement entropy in even dimensional conformal field theories (CFTs) contains well-known universal terms arising from the conformal anomaly. Renyi entropies are natural generalizations of the entanglement entropy that are much less…

High Energy Physics - Theory · Physics 2014-06-25 Jeongseog Lee , Lauren McGough , Benjamin R. Safdi

We study the entanglement and the energy density of the radiation emitted after a local quench in a boundary conformal field theory. We use the operator product expansion (OPE) to predict the early- and late-time behavior of the…

High Energy Physics - Theory · Physics 2023-06-07 Lorenzo Bianchi , Stefano De Angelis , Marco Meineri

We present a general theory of the corrections to the asymptotic behaviour of the Renyi entropies which measure the entanglement of an interval A of length L with the rest of an infinite one-dimensional system, in the case when this is…

Statistical Mechanics · Physics 2011-02-16 John Cardy , Pasquale Calabrese

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of…

High Energy Physics - Theory · Physics 2018-06-29 Alexander Jahn , Tadashi Takayanagi

We study the entanglement entropy for time-like subsystem in two-dimensional boundary conformal field theory (BCFT) both from the field theory and holographic point of view. In field theory, we compute the time-like entanglement entropy of…

High Energy Physics - Theory · Physics 2024-03-12 Chong-Sun Chu , Himanshu Parihar

We investigate the real time dynamics of the radiation produced by a local quench in a $d$-dimensional conformal field theory (CFT) with $d>2$. Using the interpretation of the higher-dimensional twist operator as a conformal defect, we…

High Energy Physics - Theory · Physics 2025-02-28 Lorenzo Bianchi , Andrea Mattiello , Jacopo Sisti

In this letter we show that the R\'enyi entanglement entropy of a region of large size $\ell$ in a one-dimensional critical model whose ground state breaks conformal invariance (such as in those described by non-unitary conformal field…

High Energy Physics - Theory · Physics 2015-06-19 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon , Emanuele Levi , Francesco Ravanini

We study the behaviour of entanglement entropy in two-dimensional CFTs under Weyl transformations from the Weyl anomaly. Using the Ryu-Takayanagi-formula, we show that these deformations correspond to local deformations of the IR cutoff of…

High Energy Physics - Theory · Physics 2022-11-30 Leo Shaposhnik

The symmetry-resolved R\'enyi entanglement entropy is the R\'enyi entanglement entropy of each symmetry sector of a density matrix $\rho$. This experimentally relevant quantity is known to have rich theoretical connections to conformal…

Quantum Physics · Physics 2022-07-14 Nick G. Jones

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

Turning on the $T\bar{T}$-deformation in a two-dimensional CFT provides a unique window to study explicitly how non-local features arise in the UV as a result of the deformation. A sharp signature is the dynamical emergence of an effective…

High Energy Physics - Theory · Physics 2025-10-29 Wen-Xin Lai , Huajia Wang , Yongjiang Xu

We study the structure of divergences and universal terms of the entanglement and R\'enyi entropies for singular regions. First, we show that for $(3+1)$-dimensional free conformal field theories (CFTs), entangling regions emanating from…

High Energy Physics - Theory · Physics 2019-09-04 Pablo Bueno , Horacio Casini , William Witczak-Krempa