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We study the effect of the choice of embedding geometry on the entropy of random geometric graph ensembles with soft connection functions. First we show that when the connection range is small, the entropy is dependent only on the dimension…

Probability · Mathematics 2026-01-22 Oliver Baker , Carl P. Dettmann

An interface connecting two distinct conformal field theories hosts rich critical behaviors. In this work, we investigate the entanglement properties of such critical interface theories for probing the underlying universality. As inspired…

Statistical Mechanics · Physics 2024-01-10 Qicheng Tang , Zixia Wei , Yin Tang , Xueda Wen , W. Zhu

We study the symmetry resolution of the entanglement entropy of an interval in two-dimensional conformal field theories (CFTs), by relating the bipartition to the geometry of an annulus with conformal boundary conditions. In the presence of…

High Energy Physics - Theory · Physics 2025-10-21 Giuseppe Di Giulio , René Meyer , Christian Northe , Henri Scheppach , Suting Zhao

We use the partition functions on S^1 x S^n of various conformal field theories in four and six dimensions in the limit of vanishing coupling to study the high temperature thermodynamics. Certain modular properties exhibited by the…

High Energy Physics - Theory · Physics 2010-02-03 David Kutasov , Finn Larsen

We use holography in order to study the entanglement entropy for a spherical entangling surface in a FRW background with an arbitrary time dependence of the scale factor. The calculation is done in various dimensions, allowing for nonzero…

High Energy Physics - Theory · Physics 2021-07-07 D. Giataganas , N. Tetradis

In this paper we consider entanglement entropies in two-dimensional conformal field theories in the presence of topological interfaces. Tracing over one side of the interface, the leading term of the entropy remains unchanged. The interface…

High Energy Physics - Theory · Physics 2016-11-03 Enrico M. Brehm , Ilka Brunner , Daniel Jaud , Cornelius Schmidt-Colinet

We discuss boundary conditions for conformal field theories that preserve the boundary Poincare invariance. As in the bulk field theories, a question arises whether boundary scale invariance leads to boundary conformal invariance. With…

High Energy Physics - Theory · Physics 2013-03-14 Yu Nakayama

Entanglement entropies are notoriously difficult to compute. Large-N strongly-coupled holographic CFTs are an important exception, where the AdS/CFT dictionary gives the entanglement entropy of a CFT region in terms of the area of an…

High Energy Physics - Theory · Physics 2017-05-30 Sebastian Fischetti , Toby Wiseman

We use holographic methods to study the entanglement entropy for excited states in a two dimensional conformal field theory. The entangling area is a single interval and the excitations are produced by in and out vertex operators with given…

High Energy Physics - Theory · Physics 2013-03-27 Amin Faraji Astaneh , Amir Esmaeil Mosaffa

A relation between the conformal anomaly and the logarithmic term in the entanglement entropy is known to exist for CFT's in even dimensions. In odd dimensions the local anomaly and the logarithmic term in the entropy are absent. As was…

High Energy Physics - Theory · Physics 2016-04-20 Dmitri V. Fursaev , Sergey N. Solodukhin

We discuss conformal field theories (CFTs) in rectangular geometries, and develop a formalism that involves a conformal boundary state for the 1+1d open system. We focus on the case of homogeneous boundary conditions (no insertion of a…

Mathematical Physics · Physics 2012-05-17 Roberto Bondesan , Jerome Dubail , Jesper Lykke Jacobsen , Hubert Saleur

We compute the holographic entanglement entropy of a thermalized CFT on a time-dependent background in four dimensions. We consider a slab configuration extending beyond the cosmological horizon of a Friedmann-Lemaitre-Robertson-Walker…

High Energy Physics - Theory · Physics 2022-07-27 Vangelis Giantsos , Nikolaos Tetradis

We study exact defect $g$-functions for integrable line defects in two-dimensional integrable quantum field theory and use them to probe defect fusion. We consider three settings: fusion of purely transmitting topological defects, fusion of…

High Energy Physics - Theory · Physics 2026-05-21 Yang He , Yunfeng Jiang , Yuxiao Liu

We study the relative entanglement entropies of one interval between excited states of a 1+1 dimensional conformal field theory (CFT). To compute the relative entropy $S(\rho_1 \| \rho_0)$ between two given reduced density matrices $\rho_1$…

High Energy Physics - Theory · Physics 2017-02-14 Paola Ruggiero , Pasquale Calabrese

The causal entropy bound (CEB) is confronted with recent explicit entropy calculations in weakly and strongly coupled conformal field theories (CFTs) in arbitrary dimension $D$. For CFT's with a large number of fields, $N$, the CEB is found…

High Energy Physics - Theory · Physics 2009-11-07 R. Brustein , S. Foffa , G. Veneziano

Boundary conformal field theory (BCFT) is simply the study of conformal field theory (CFT) in domains with a boundary. It gains its significance because, in some ways, it is mathematically simpler: the algebraic and geometric structures of…

High Energy Physics - Theory · Physics 2008-02-20 John Cardy

In this paper, we discuss the entanglement phase transition of pseudo entropy in CFTs. We focus on the case where the in-state and the out-state are different boundary states related by boundary condition changing operators. We compute the…

High Energy Physics - Theory · Physics 2026-03-13 Hiroki Kanda , Tadashi Takayanagi , Zixia Wei

Solutions of $(d+1)$-dimensional gravity coupled to a scalar field are obtained, which holographically realize interface and boundary CFTs. The solution utilizes a Janus-like $\mathrm{AdS}_d$ slicing ansatz and corresponds to a deformation…

High Energy Physics - Theory · Physics 2013-05-30 Michael Gutperle , Joshua Samani

We study the entanglement entropies in one-dimensional open critical systems, whose effective description is given by a conformal field theory with boundaries. We show that for pure-state systems formed by the ground state or by the excited…

Statistical Mechanics · Physics 2013-09-02 L. Taddia , J. C. Xavier , F. C. Alcaraz , G. Sierra

We study the possibility that black hole entropy be identified as entropy of entanglement across the horizon of the vacuum of a quantum field in the presence of the black hole. We argue that a recent proposal for computing entanglement…

High Energy Physics - Theory · Physics 2009-11-11 Roberto Emparan