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We study how bulk propagation in global AdS$_3$ is encoded in boundary energy densities of the dual CFT$_2$ on the cylinder. A key feature of the global geometry, which is absent in the Poincar\'e-patch description, is that a null…

High Energy Physics - Theory · Physics 2026-05-29 Shiki Yoshikawa

Quantum many-body systems have a rich structure in the presence of boundaries. We study the groundstates of conformal field theories (CFTs) and Lifshitz field theories in the presence of a boundary through the lens of the entanglement…

Strongly Correlated Electrons · Physics 2022-09-07 Clément Berthiere , William Witczak-Krempa

A four-dimensional Abelian gauge field can be coupled to a 3d CFT with a $U(1)$ symmetry living on a boundary. This coupling gives rise to a continuous family of boundary conformal field theories (BCFT) parametrized by the gauge coupling…

High Energy Physics - Theory · Physics 2019-06-26 Lorenzo Di Pietro , Davide Gaiotto , Edoardo Lauria , Jingxiang Wu

We explore the sum over topologies in AdS$_3$ quantum gravity and its relationship with the statistical interpretation of the boundary theory. We formulate a statistical version of the conformal bootstrap that systematizes the universal…

High Energy Physics - Theory · Physics 2026-03-26 Alexandre Belin , Scott Collier , Lorenz Eberhardt , Diego Liska , Boris Post

We derive an asymptotic formula for operator product expansion coefficients of heavy operators in two dimensional conformal field theory. This follows from modular invariance of the genus two partition function, and generalises the…

High Energy Physics - Theory · Physics 2017-11-22 John Cardy , Alexander Maloney , Henry Maxfield

We examine two-dimensional conformal field theories (CFTs) at central charge c=0. These arise typically in the description of critical systems with quenched disorder, but also in other contexts including dilute self-avoiding polymers and…

High Energy Physics - Theory · Physics 2016-11-23 V. Gurarie , A. W. W. Ludwig

Boundary conditions changing operators have played an important role in conformal field theory. Here, we study their equivalent in the case where a mass scale is introduced, in an integrable way, either in the bulk or at the boundary. More…

High Energy Physics - Theory · Physics 2009-10-31 F. Lesage , H. Saleur

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 continue the study of model-independent constraints on the unitary Conformal Field Theories in 4-Dimensions, initiated in arXiv:0807.0004. Our main result is an improved upper bound on the dimension \Delta of the leading scalar operator…

High Energy Physics - Theory · Physics 2015-03-13 Vyacheslav S. Rychkov , Alessandro Vichi

We show that the recently proposed free boundary conditions for AdS$_3$ are dual to two-dimensional quantum gravity in certain fixed gauges. In particular, we note that an appropriate identification of the generator of Virasoro…

High Energy Physics - Theory · Physics 2014-04-02 Luis Apolo , Massimo Porrati

We use the variational principle approach to derive the large $N$ holographic dictionary for two-dimensional $T\bar T$-deformed CFTs, for both signs of the deformation parameter. The resulting dual gravitational theory has mixed boundary…

High Energy Physics - Theory · Physics 2021-02-03 Monica Guica , Ruben Monten

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

We consider the conformal $A_{n}$ Toda theory in AdS$_{2}$. Due to the bulk full Virasoro symmetry, this system provides an instance of a non-gravitational $\text{AdS}_{2}$/$\text{CFT}_{1}$ correspondence where the 1d boundary theory enjoys…

High Energy Physics - Theory · Physics 2020-01-08 Matteo Beccaria , Giulio Landolfi

We apply and extend the theory of universal recovery channels from quantum information theory to address the problem of entanglement wedge reconstruction in AdS/CFT. It has recently been proposed that any low-energy local bulk operators in…

High Energy Physics - Theory · Physics 2019-07-31 Jordan Cotler , Patrick Hayden , Geoffrey Penington , Grant Salton , Brian Swingle , Michael Walter

We revisit the construction of local bulk operators in AdS/CFT with special focus on gravitational dressing and its consequences for bulk locality. Specializing to 2+1-dimensions, we investigate these issues via the proposed identification…

High Energy Physics - Theory · Physics 2017-02-01 Aitor Lewkowycz , Gustavo J. Turiaci , Herman Verlinde

We consider the bulk $\phi^3$ deformation of the free boundary conformal field theory in the $\epsilon$ expansion. We determine the leading corrections to the scaling dimensions of boundary fundamental operators and some boundary operator…

High Energy Physics - Theory · Physics 2026-05-18 Yongwei Guo , Wenliang Li

We examine the behavior of the entanglement asymmetry in the ground state of a (1+1)-dimensional conformal field theory with a boundary condition that explicitly breaks a bulk symmetry. Our focus is on the asymmetry of a subsystem $A$…

High Energy Physics - Theory · Physics 2024-11-25 Michele Fossati , Colin Rylands , Pasquale Calabrese

We begin by explicating a recent proof of the cluster decomposition principle in AdS_{d+1} from the CFT_d bootstrap in d > 2. The CFT argument also computes the leading interactions between distant objects in AdS, and we confirm the…

High Energy Physics - Theory · Physics 2014-09-17 A. Liam Fitzpatrick , Jared Kaplan , Matthew T. Walters

We initiate a study of the boundary version of the square-lattice $Q$-state Potts antiferromagnet, with $Q \in [0,4]$ real, motivated by the fact that the continuum limit of the corresponding bulk model is a non-compact CFT, closely related…

Statistical Mechanics · Physics 2020-03-31 Niall F. Robertson , Jesper Lykke Jacobsen , Hubert Saleur

We study the $T\bar T$ deformation of boundary conformal field theories (BCFTs) from an intrinsic field-theoretic perspective. Formulating the deformation as a modification of the asymptotic variational principle in AdS$_3$, we obtain the…

High Energy Physics - Theory · Physics 2026-01-30 Feiyu Deng