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We study a particular type of local quench in a generic quantum critical one-dimensional system, using conformal field theory (CFT) techniques, and providing numerical checks of the results in free fermion systems. The system is initially…

Statistical Mechanics · Physics 2015-03-19 Jean-Marie Stéphan , Jérôme Dubail

We consider the Regge limit of the CFT correlation functions $\langle {\cal J} {\cal J} {\cal O}{\cal O}\rangle$ and $\langle TT {\cal O}{\cal O}\rangle$, where ${\cal J}$ is a vector current, $T$ is the stress tensor and ${\cal O}$ is some…

High Energy Physics - Theory · Physics 2017-12-06 Miguel S. Costa , Tobias Hansen , João Penedones

We study the contribution to the entanglement entropy of (2+1)-dimensional conformal field theories coming from a sharp corner in the entangling surface. This contribution is encoded in a function $a(\theta)$ of the corner opening angle,…

High Energy Physics - Theory · Physics 2015-07-13 Pablo Bueno , Robert C. Myers , William Witczak-Krempa

The vacuum entanglement entropy of a general conformal field theory (CFT) in $d=5$ spacetime dimensions contains a universal term, $F(A)$, which has a complicated and non-local dependence on the geometric details of the region $A$ and the…

High Energy Physics - Theory · Physics 2025-01-03 Giorgos Anastasiou , Ignacio J. Araya , Pablo Bueno , Javier Moreno , Rodrigo Olea , Alejandro Vilar Lopez

Conformal field theories (CFTs) with MN and tetragonal global symmetry in $d=2+1$ dimensions are relevant for structural, antiferromagnetic and helimagnetic phase transitions in a wide class of materials. The study of these theories with…

High Energy Physics - Theory · Physics 2020-11-23 Andreas Stergiou

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

We study the shape dependence of entanglement entropy (EE) by deforming symmetric entangling surfaces. We show that entangling surfaces with a rotational or translational symmetry extremize (locally) the EE with respect to shape…

High Energy Physics - Theory · Physics 2016-01-27 Dean Carmi

We study the scaling of the Renyi entanglement entropy of two disjoint blocks of critical lattice models described by conformal field theories with central charge c=1. We provide the analytic conformal field theory result for the second…

Statistical Mechanics · Physics 2015-03-19 Vincenzo Alba , Luca Tagliacozzo , Pasquale Calabrese

We consider the time evolution of mixed state correlation measures in two-dimensional conformal field theories, such as logarithmic negativity, odd entropy, and reflected entropy, after quantum quenches of various kinds. These correlation…

High Energy Physics - Theory · Physics 2020-04-20 Jonah Kudler-Flam , Yuya Kusuki , Shinsei Ryu

We study the conformal field theory data (CFT-data) of planar 4D $\mathcal{N} = 4$ Super-Yang-Mills theory in the strong 't Hooft coupling limit. This regime explores the physics of massive short strings in the flat-space limit of the dual…

High Energy Physics - Theory · Physics 2025-01-27 Julius Julius , Nika Sergeevna Sokolova

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…

High Energy Physics - Theory · Physics 2017-10-24 Diptarka Das , Shouvik Datta , Sridip Pal

In this paper we review the properties of the black hole entropy in the light of a general conformal field theory treatment. We find that the properties of horizons of the BTZ black holes in ADS_{3}, can be described in terms of an…

High Energy Physics - Theory · Physics 2008-11-26 G. Maiella , C. Stornaiolo

We consider conformal blocks of two heavy operators and an arbitrary number of light operators in a (1+1)-d CFT with large central charge. Using the monodromy method, these higher-point conformal blocks are shown to factorize into products…

High Energy Physics - Theory · Physics 2016-05-27 Pinaki Banerjee , Shouvik Datta , Ritam Sinha

For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel. Our result has a direct application to…

High Energy Physics - Theory · Physics 2018-01-17 Jiaxin Qiao , Slava Rychkov

We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime…

High Energy Physics - Theory · Physics 2015-06-05 Robert C. Myers , Ajay Singh

We consider perturbation defects obtained by perturbing a 2D conformal field theory (CFT) by a relevant operator on a half-plane. If the perturbed bulk theory flows to an infrared fixed point described by another CFT, the defect flows to a…

High Energy Physics - Theory · Physics 2014-07-25 Anatoly Konechny , Cornelius Schmidt-Colinet

The crossing equations of a conformal field theory can be systematically truncated to a finite, closed system of polynomial equations. In certain cases, solutions of the truncated equations place strict bounds on the space of all unitary…

High Energy Physics - Theory · Physics 2019-06-26 Nima Afkhami-Jeddi , Thomas Hartman , Amirhossein Tajdini

Entanglement entropy in even dimensional conformal field theories (CFTs) contains well-known universal terms arising from the conformal anomaly. Renyi entropies are natural generalizations of the entanglement entropy that are much less…

High Energy Physics - Theory · Physics 2014-06-25 Jeongseog Lee , Lauren McGough , Benjamin R. Safdi

A comprehensive symmetry resolution of the entanglement entropy (EE) in $(1+1)$-d rational conformal field theories (RCFT) with categorical non-invertible symmetries is presented. This amounts to symmetry resolving the entanglement with…

High Energy Physics - Theory · Physics 2024-12-10 Arpit Das , Javier Molina-Vilaplana , Pablo Saura-Bastida

We revisit the computation of the 2-loop correction to the energy of a folded spinning string in AdS_5 with an angular momentum J in S^5 in the scaling limit log S, J >>1 with J / log S fixed. This correction gives the third term in the…

High Energy Physics - Theory · Physics 2014-11-20 S. Giombi , R. Ricci , R. Roiban , A. A. Tseytlin , C. Vergu