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Related papers: A universal feature of CFT Renyi entropy

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Conformal symmetry is broken by a flat or spherical defect operator $\mathcal{D}$. We show that this defect operator, may be identified as a pair of twist operators which are inserted at the tips of its causal diamond. Any $k-$point…

High Energy Physics - Theory · Physics 2016-11-09 Jiang Long

Entanglement entropy obeys a 'first law', an exact quantum generalization of the ordinary first law of thermodynamics. In any CFT with a semiclassical holographic dual, this first law has an interpretation in the dual gravitational theory…

High Energy Physics - Theory · Physics 2017-07-13 Thomas Faulkner , Monica Guica , Thomas Hartman , Robert C. Myers , Mark Van Raamsdonk

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

Using the AdS/CFT correspondence, we probe the scale-dependence of thermalization in strongly coupled field theories following a quench, via calculations of two-point functions, Wilson loops and entanglement entropy in d=2,3,4. In the…

Partition functions of quantum critical systems, expressed as conformal thermal tensor networks, are defined on various manifolds which can give rise to universal entropy corrections. Through high-precision tensor network simulations of…

Strongly Correlated Electrons · Physics 2017-11-29 Lei Chen , Hao-Xin Wang , Lei Wang , Wei Li

We study the bipartite entanglement entropy of the two-dimensional (2D) transverse-field Ising model in the thermodynamic limit using series expansion methods. Expansions are developed for the Renyi entropy around both the small-field and…

Statistical Mechanics · Physics 2012-09-19 Rajiv R. P. Singh , Roger G. Melko , Jaan Oitmaa

Celestial holography is the conjecture that scattering amplitudes in $(d+2)$-dimensional asymptotically Minkowski spacetimes are dual to correlators of a $d$-dimensional conformal field theory (CFT) on the celestial sphere, called the…

High Energy Physics - Theory · Physics 2025-08-19 Federico Capone , Andy O'Bannon , Ronnie Rodgers , Somyadip Thakur

In quantum field theories defined on a spacetime with boundaries, the entanglement entropy exhibits subleading, boundary-induced corrections to the ubiquitous area law. At critical points described by conformal field theories (CFTs), and…

Strongly Correlated Electrons · Physics 2019-05-07 Clement Berthiere

In this brief note we calculate the entanglement entropy in $M^{\otimes N}/S_N$ symmetric orbifold CFTs in the presence of topological defects, which were recently constructed in \cite{Gutperle:2024vyp,Knighton:2024noc}. We consider both…

High Energy Physics - Theory · Physics 2024-06-18 Michael Gutperle , Yan-Yan Li , Dikshant Rathore , Konstantinos Roumpedakis

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a…

High Energy Physics - Theory · Physics 2011-05-12 Horacio Casini , Marina Huerta , Robert C. Myers

We determine the explicit universal form of the entanglement and Renyi entropies, for regions with arbitrary boundary on a null plane or the light-cone. All the entropies are shown to saturate the strong subadditive inequality. This Renyi…

High Energy Physics - Theory · Physics 2018-06-13 Horacio Casini , Eduardo Teste , Gonzalo Torroba

We investigate entanglement entropy in $3d$ $\mathcal{N}=2$ superconformal field theories from two different perspectives. We first confirm that the dependence of supersymmetric entanglement entropy (as defined in arXiv:1306.2958) on the…

High Energy Physics - Theory · Physics 2024-10-28 Pedro Vicente Marto , Umut Gürsoy , Guim Planella Planas

We study the ratio of the entropy to the total energy in conformal field theories at finite temperature. For the free field realizations of N=4 super Yang-Mills theory in D=4 and the (2,0) tensor multiplet in D=6, the ratio is bounded from…

High Energy Physics - Theory · Physics 2007-05-23 George Siopsis

Relative entropy is a non-negative quantity and offers a powerful means of achieving a unified understanding of fundamental properties in physics, including the second law of thermodynamics and positivity bounds on effective field theories…

High Energy Physics - Theory · Physics 2025-04-29 Daiki Ueda , Kazuhiro Tatsumi

We present a detailed discussion of entanglement entropy in (1+1)-dimensional Warped Conformal Field Theories (WCFTs). We implement the Rindler method to evaluate entanglement and Renyi entropies for a single interval and along the way we…

High Energy Physics - Theory · Physics 2017-01-19 Alejandra Castro , Diego M. Hofman , Nabil Iqbal

We derive a general relation between the ground state entanglement Hamiltonian and the physical stress tensor within the path integral formalism. For spherical entangling surfaces in a CFT, we reproduce the \emph{local} ground state…

High Energy Physics - Theory · Physics 2014-05-05 Gabriel Wong , Israel Klich , Leopoldo A. Pando Zayas , Diana Vaman

Computing entanglement entropy and its cousins is often challenging even in the simplest continuum and lattice models, partly because such entropies depend nontrivially on all geometric characteristics of the entangling region. Quantum…

Quantum Physics · Physics 2016-04-28 Mohammad F. Maghrebi

The R\'enyi-Shannon entropy associated to critical quantum spins chain with central charge $c=1$ is shown to have a phase transition at some value $n_c$ of the R\'enyi parameter $n$ which depends on the Luttinger parameter (or…

Strongly Correlated Electrons · Physics 2011-11-30 Jean-Marie Stéphan , Grégoire Misguich , Vincent Pasquier

We compute universal finite corrections to entanglement entropy for generalised quantum Lifshitz models in arbitrary odd spacetime dimensions. These are generalised free field theories with Lifshitz scaling symmetry, where the dynamical…

High Energy Physics - Theory · Physics 2019-09-04 J. Angel-Ramelli , V. Giangreco M. Puletti , L. Thorlacius

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…

High Energy Physics - Theory · Physics 2014-05-07 John Cardy , Christopher P. Herzog