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相关论文: R\'enyi entropy of single-character CFTs on the to…

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We study the entanglement entropy (EE) and the R\'{e}nyi entropy (RE) of multiple intervals in two-dimensional $T\overline{T}$-deformed conformal field theory (CFT) at finite temperature by field theoretic and holographic methods. First, by…

高能物理 - 理论 · 物理学 2020-02-03 Hyun-Sik Jeong , Keun-Young Kim , Mitsuhiro Nishida

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…

高能物理 - 理论 · 物理学 2015-08-10 Bin Chen , Wu-Zhong Guo , Song He , Jie-qiang Wu

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…

高能物理 - 理论 · 物理学 2023-09-08 Song He , Jie Yang , Yu-Xuan Zhang , Zi-Xuan Zhao

The recent study in AdS$_3$/CFT$_2$ correspondence shows that the tree level contribution and 1-loop correction of holographic R\'enyi entanglement entropy (HRE) exactly match the direct CFT computation in the large central charge limit.…

高能物理 - 理论 · 物理学 2015-04-29 Bin Chen , Feng-yan Song , Jia-ju Zhang

We compute R\'enyi entropies for a spherical entangling surface in four-dimensional N=4 super-Yang-Mills at strong coupling using the AdS/CFT correspondence. Incorporating the effects of the leading \alpha' corrections to the low energy…

高能物理 - 理论 · 物理学 2015-06-16 Damian A. Galante , Robert C. Myers

The Monster CFT plays an important role in moonshine and is also conjectured to be the holographic dual to pure gravity in AdS3. We investigate the entanglement and Renyi entropies of this theory along with other extremal CFTs. The Renyi…

高能物理 - 理论 · 物理学 2017-10-24 Diptarka Das , Shouvik Datta , Sridip Pal

We investigate the holographic R\'enyi entropy for two-dimensional $\mathcal N=(2,2)$ superconformal field theory (SCFT), which is dual to $\mathcal N=2$ supergravity in AdS$_3$ background. In SCFT we have the stress tensor, current, and…

高能物理 - 理论 · 物理学 2017-06-23 Zhibin Li , Jia-ju Zhang

We explore the structures of light cone and Regge limit singularities of $n$-point Virasoro conformal blocks in $c>1$ two-dimensional conformal field theories with no chiral primaries, using fusion matrix approach. These CFTs include not…

高能物理 - 理论 · 物理学 2019-09-04 Yuya Kusuki , Masamichi Miyaji

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…

高能物理 - 理论 · 物理学 2013-03-29 Thomas Hartman

We study the von Neumann and R\'enyi entanglement entropy (EE) of scale-invariant theories defined on tori in 2+1 and 3+1 spacetime dimensions. We focus on spatial bi-partitions of the torus into two cylinders, and allow for twisted…

强关联电子 · 物理学 2017-05-02 Xiao Chen , William Witczak-Krempa , Thomas Faulkner , Eduardo Fradkin

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,…

高能物理 - 理论 · 物理学 2024-05-15 Wu-zhong Guo , Yaozong Jiang

We consider single interval R\'enyi and entanglement entropies for a two dimensional conformal field theory on a circle at nonzero temperature. Assuming that the finite size of the system introduces a unique ground state with a nonzero mass…

高能物理 - 理论 · 物理学 2014-05-07 John Cardy , Christopher P. Herzog

R\'enyi and entanglement entropies are constructed for 2d q-deformed topological Yang-Mills theories with gauge group $U(N)$, as well as the dual 3d Chern-Simons (CS) theory on Seifert manifolds. When $q=\exp[2\pi i/(N+K)]$, and $K$ is odd,…

高能物理 - 理论 · 物理学 2016-05-27 Howard J. Schnitzer

We investigate the one-loop entanglement entropy of two short intervals with small cross ratio $x$ on a complex plane in two-dimensional conformal field theory (CFT) using operator product expansion of twist operators. We focus on the…

高能物理 - 理论 · 物理学 2016-06-09 Zhibin Li , Jia-ju Zhang

We present a holographic method for computing the response of R\'enyi entropies in conformal field theories to small shape deformations around a flat (or spherical) entangling surface. Our strategy employs the stress tensor one-point…

高能物理 - 理论 · 物理学 2017-06-16 Lorenzo Bianchi , Shira Chapman , Xi Dong , Damián A. Galante , Marco Meineri , Robert C. Myers

We compute the R\'enyi entropies of the massless Dirac field on the Euclidean torus (the Lorentzian cylinder at non-zero temperature) for arbitrary spatial regions. We do it by the resolvent method, i.e., we express the entropies in terms…

高能物理 - 理论 · 物理学 2022-02-24 David Blanco , Tomás Ferreira Chase , Juan Laurnagaray , Guillem Pérez-Nadal

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…

高能物理 - 理论 · 物理学 2016-11-29 Feng-Li Lin , Huajia Wang , Jia-ju Zhang

The topological R\'enyi and entanglement entropies depend on the bipartition of the manifold and the choice of the ground states. However, these entanglement quantities remain invariant under a coordinate transformation when the bipartition…

强关联电子 · 物理学 2024-02-21 Chih-Yu Lo , Po-Yao Chang

We develop a nonequilibrium increment method in quantum Monte Carlo simulations to obtain the R\'enyi entanglement entropy of various quantum many-body systems with high efficiency and precision. To demonstrate its power, we show the…

强关联电子 · 物理学 2022-07-01 Jiarui Zhao , Bin-Bin Chen , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

We study the multi-boundary entanglement structure of the state associated with the torus link complement $S^3 \backslash T_{p,q}$ in the set-up of three-dimensional SU(2)$_k$ Chern-Simons theory. The focal point of this work is the…

高能物理 - 理论 · 物理学 2020-12-24 Siddharth Dwivedi , Vivek Kumar Singh , Abhishek Roy