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Using the subtraction approach, we give the bipartite mixed state entanglement entropy in thermal $\text{CFT}_2$. With these entanglement entropies, we examine in detail the holographic duals of different entangling configurations…

High Energy Physics - Theory · Physics 2025-09-01 Xin Jiang , Haitang Yang , Zilin Zhao

We postulate the existence of universal crossover functions connecting the universal parts of the entanglement entropy to the low temperature thermal entropy in gapless quantum many-body systems. These scaling functions encode the intuition…

Strongly Correlated Electrons · Physics 2013-05-30 Brian Swingle , T. Senthil

In this note a new method for computing the entanglement entropy of a CFT holographically is explored. It consists of finding a bulk background with a boundary metric that has the conical singularities needed to compute the entanglement…

High Energy Physics - Theory · Physics 2008-12-25 Georgios Michalogiorgakis

In this paper, we investigate the entanglement entropy for the generalized charged BTZ black hole through the $AdS_{3}/CFT_{2}$ correspondence. Using the holographic description of the entanglement entropy for the strip-subsystem in…

General Relativity and Quantum Cosmology · Physics 2016-05-03 Seyed Ali Hosseini Mansoori , Behrouz Mirza , Mahdi Davoudi Darareh , Sharooz Janbaz

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective…

Strongly Correlated Electrons · Physics 2019-06-14 Yuting Hu , Yidun Wan

Utilizing the holographic technique, we investigate how the entanglement entropy evolves along the RG flow. After introducing a new generalized temperature which satisfies the thermodynamics-like law even in the IR regime, we find that the…

High Energy Physics - Theory · Physics 2017-05-31 Ki-Seok Kim , Chanyong Park

In this paper we discuss behaviors of entanglement entropy between two interacting CFTs and its holographic interpretation using the AdS/CFT correspondence. We explicitly perform analytical calculations of entanglement entropy between two…

High Energy Physics - Theory · Physics 2015-06-19 Ali Mollabashi , Noburo Shiba , Tadashi Takayanagi

We consider a conformal field theory in two dimensions in which an external perturbation is placed. We study the energy flux and entanglement entropy for one, two and multiple intervals and give a suggestion relating the two in some cases.…

High Energy Physics - Theory · Physics 2017-11-01 Talya Vaknin

We consider time-dependent entanglement entropy (EE) for a 1+1 dimensional CFT in the presence of angular momentum and U(1) charge. The EE saturates, irrespective of the initial state, to the grand canonical entropy after a time large…

High Energy Physics - Theory · Physics 2015-06-16 Pawel Caputa , Gautam Mandal , Ritam Sinha

We derive the universal terms of entanglement entropy for 6d CFTs by applying the holographic and the field theoretical approaches, respectively. Our formulas are conformal invariant and agree with the results of [34,35]. Remarkably, we…

High Energy Physics - Theory · Physics 2015-09-22 Rong-Xin Miao

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor. Such a deformation has been proposed to be holographically dual to an…

High Energy Physics - Theory · Physics 2019-09-26 Aritra Banerjee , Arpan Bhattacharyya , Soumangsu Chakraborty

It was proposed by Ryu and Takayanagi that the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk. We apply this holographic geometrical method of…

High Energy Physics - Theory · Physics 2014-06-11 Pavel Krtous , Andrei Zelnikov

We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this…

High Energy Physics - Theory · Physics 2008-11-26 Tatsuo Azeyanagi , Tatsuma Nishioka , Tadashi Takayanagi

We investigate the robustness of the Araki-Lieb inequality in a two-dimensional (2D) conformal field theory (CFT) on torus. The inequality requires that $\Delta S=S(L)-|S(L-\ell)-S(\ell)|$ is nonnegative, where $S(L)$ is the thermal entropy…

High Energy Physics - Theory · Physics 2017-10-09 Bin Chen , Zhibin Li , Jia-ju Zhang

We discuss the notion of string entanglement in string theory, which aims to study entanglement between worldsheet Hilbert spaces rather than entanglement between spacetime Hilbert spaces defined on a time slice in spacetime. Applying this…

High Energy Physics - Theory · Physics 2026-05-19 Soichiro Mori , Tadakatsu Sakai , Masaki Shigemori

We consider free fermion and free boson CFTs in two dimensions, deformed by a chemical potential $\mu$ for the spin-three current. For the CFT on the infinite spatial line, we calculate the finite temperature entanglement entropy of a…

High Energy Physics - Theory · Physics 2015-06-18 Shouvik Datta , Justin R. David , Michael Ferlaino , S. Prem Kumar

The entanglement entropy in three-dimensional conformal field theories (CFTs) receives a logarithmic contribution characterized by a regulator-independent function $a(\theta)$ when the entangling surface contains a sharp corner with opening…

High Energy Physics - Theory · Physics 2015-10-14 Pablo Bueno , Robert C. Myers , William Witczak-Krempa

The leading asymptotic large-scale behaviour of the spatially bipartite entanglement entropy (EE) of the free Fermi gas infinitely extended in multidimensional Euclidean space at zero absolute temperature, T=0, is by now well understood.…

Quantum Physics · Physics 2017-03-06 Hajo Leschke , Alexander V. Sobolev , Wolfgang Spitzer

We show that in any relativistic system, entanglement entropy obeys a speed limit set by the entanglement in thermal equilibrium. The bound is derived from inequalities on relative entropy with respect to a thermal reference state. Thus the…

High Energy Physics - Theory · Physics 2015-12-10 Thomas Hartman , Nima Afkhami-Jeddi

We study the timelike entanglement entropy (TEE) in two dimensional conformal field theories (CFT) with gravitational anomalies. We employ analytical continuation to compute the timelike entanglement entropy for a pure timelike interval in…

High Energy Physics - Theory · Physics 2025-08-08 Chong-Sun Chu , Himanshu Parihar