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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…

High Energy Physics - Theory · Physics 2017-06-16 Lorenzo Bianchi , Shira Chapman , Xi Dong , Damián A. Galante , Marco Meineri , Robert C. Myers

We calculate the entanglement and the universal boundary entropy (BE) in the critical quantum spin chains, such as the transverse field Ising chain and the XXZ chain, with arbitrary direction of the boundary magnetic field (ADBMF). We…

Strongly Correlated Electrons · Physics 2020-07-01 J. C. Xavier , M. A. Rajabpour

We develop a systematic approach to compute the subsystem trace distances and relative entropies for subsystem reduced density matrices associated to excited states in different symmetry sectors of a 1+1 dimensional conformal field theory…

High Energy Physics - Theory · Physics 2022-04-01 Luca Capizzi , Pasquale Calabrese

I give some scalar field theory calculations on a d-dimensional lune of arbitrary angle, evaluating, numerically, the effective action which is expressed as a simple quadrature, for conformal coupling. Using this, the entanglement and Renyi…

High Energy Physics - Theory · Physics 2015-06-12 J. S. Dowker

We use holographic techniques to calculate the first thermal correction to the entanglement entropy of a cap-like region of a CFT defined on a sphere, successfully reproducing the field theory result. Since this is an order-one correction…

High Energy Physics - Theory · Physics 2015-02-27 Stefan Leichenauer

We study the scaling of the (basis dependent) Shannon entropy for two-dimensional quantum antiferromagnets with N\'eel long-range order. We use a massless free-field description of the gapless spin wave modes and phase space arguments to…

Strongly Correlated Electrons · Physics 2017-06-12 Grégoire Misguich , Vincent Pasquier , Masaki Oshikawa

The correlations, entanglement entropy, and fidelity susceptibility are calculated for a one-dimensional spin-1/2 XXZ chain with anisotropic power-law long range interactions by employing the density matrix renormalization group method. In…

Strongly Correlated Electrons · Physics 2020-03-11 Jie Ren , Wen-Long You , Xiaoqun Wang

We revisit the calculation of vacuum entanglement entropy in free Maxwell theory in four-dimensional Minkowski spacetime. Weyl invariance allows for this theory to be embedded as a patch inside the Einstein static universe. We use conformal…

High Energy Physics - Theory · Physics 2024-03-22 Hong Zhe Chen , Robert Myers , Ana-Maria Raclariu

I compute the conformal weights of the twist operators of free scalar fields for charged R\'enyi entropy in both odd and even dimensions. Explicit expressions can be found, in odd dimensions as a function of the chemical potential in the…

High Energy Physics - Theory · Physics 2015-12-07 J. S. Dowker

We initiate the classification of unitary superconformal defects in unitary superconformal field theories (SCFT) of diverse spacetime dimensions $3\leq d \leq 6$. Our method explores general constraints from the defect superconformal…

High Energy Physics - Theory · Physics 2020-10-13 Nathan B. Agmon , Yifan Wang

The entanglement entropy of three-dimensional conformal field theories contains a universal contribution coming from corners in the entangling surface. We study these contributions in a holographic framework and, in particular, we consider…

High Energy Physics - Theory · Physics 2015-09-30 Pablo Bueno , Robert C. Myers

We derive the universal threshold corrections in heterotic string theory including a continuous Wilson line. Unification of gauge and gravitational couplings is shown to be possible even within perturbative string theory. The relative…

High Energy Physics - Theory · Physics 2009-10-30 H. P. Nilles , S. Stieberger

We investigate the entanglement and R\'enyi entropies for the (1+1)-dimensional O(3) nonlinear sigma model using the tensor renormalization group method. The central charge is determined from the asymptotic scaling properties of both…

High Energy Physics - Theory · Physics 2023-09-20 Xiao Luo , Yoshinobu Kuramashi

We examine the scaling behavior of the entanglement entropy for the 2D quantum dimer model (QDM) at criticality and derive the universal finite sub-leading correction $\gamma_{QCP}$. We compute the value of $\gamma_{QCP}$ without…

Statistical Mechanics · Physics 2010-11-10 Benjamin Hsu , Eduardo Fradkin

We consider a bilayer quantum spin model with anisotropic intra-layer exchange couplings. By varying the anisotropy, the quantum critical phenomena changes from XY to Heisenberg to Ising universality class, with two, three and one modes…

Statistical Mechanics · Physics 2015-06-19 Trithep Devakul , Rajiv R. P. Singh

We determine $1/N$ corrections to a notion of generalized entanglement entropy known as entwinement dual to the length of a winding geodesic in asymptotically AdS$_3$ geometries. We explain how $1/N$ corrections can be computed formally via…

High Energy Physics - Theory · Physics 2025-10-06 Marius Gerbershagen , Dongming He

We construct spinning black hole solutions in five dimensions that take into account the mixed gauge-gravitational Chern-Simons term and its supersymmetric completion. The resulting entropy formula is discussed from several points of view.…

High Energy Physics - Theory · Physics 2010-02-03 Alejandra Castro , Joshua L. Davis , Per Kraus , Finn Larsen

In a $d$-dimensional conformal field theory, it has been known that a relevant deformation operator with the conformal dimension, $\Delta=\frac{d+2}{2}$, generates a logarithmic correction to the entanglement entropy. In the large 't Hooft…

High Energy Physics - Theory · Physics 2016-01-06 Chanyong Park

We study the holographic entanglement entropy of deformed entangling regions in three-dimensional CFTs dual to Einstein-AdS gravity, using a renormalization scheme based on the addition of extrinsic counterterms. In this prescription, when…

High Energy Physics - Theory · Physics 2020-10-28 Giorgos Anastasiou , Javier Moreno , Rodrigo Olea , David Rivera-Betancour

We compute the entanglement entropy of a massless spin $2$ field in a sphere in flat Minkowski space. We describe the theory with a linearized metric perturbation field $h_{\mu\nu}$ and decompose it in tensor spherical harmonics. We fix the…

High Energy Physics - Theory · Physics 2020-02-12 Valentin Benedetti , Horacio Casini
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