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We study the holographic dual of a topological symmetry operator in the context of the AdS/CFT correspondence. Symmetry operators arise from topological field theories localized on a subspace of the boundary CFT spacetime. We use bottom up…

High Energy Physics - Theory · Physics 2024-10-23 Jonathan J. Heckman , Max Hübner , Chitraang Murdia

We study the holomorphic twist of 3d ${\cal N}=2$ gauge theories in the presence of boundaries, and the algebraic structure of bulk and boundary local operators. In the holomorphic twist, both bulk and boundary local operators form chiral…

High Energy Physics - Theory · Physics 2020-05-04 Kevin Costello , Tudor Dimofte , Davide Gaiotto

We investigate the details of the bulk-boundary correspondence in Lorentzian signature anti-de Sitter space. Operators in the boundary theory couple to sources identified with the boundary values of non-normalizable bulk modes. Such modes…

High Energy Physics - Theory · Physics 2016-08-25 Vijay Balasubramanian , Per Kraus , Albion Lawrence

The AdS/CFT correspondence provides a new perspective on recurrent questions in General Relativity such as the allowed boundary conditions at infinity and the definition of gravitational conserved charges. Here we review the main insights…

High Energy Physics - Theory · Physics 2015-05-14 Kostas Skenderis , Marika Taylor , Balt C. van Rees

We point out that it is possible to define CFT duals to AdS theories with massive gravitons only. This is achieved by considering the product of two or more CFTs on the boundary, each possessing a large-N expansion and a corresponding bulk…

High Energy Physics - Theory · Physics 2012-07-30 Luis Apolo , Massimo Porrati

Correlation functions of local operators in Quantum Field Theory (QFT) on hyperbolic space can be fully characterized by the set of QFT data $\lbrace \Delta_i,C_{ijk},b^{\hat{\mathcal{O}}}_j\rbrace$. These are the scaling dimensions of…

High Energy Physics - Theory · Physics 2026-05-19 Manuel Loparco , Grégoire Mathys , Joao Penedones , Jiaxin Qiao , Xiang Zhao

In this letter the boundary problem for massless and massive Rarita-Schwinger field in the AdS/CFT correspondence is considered. The considerations are along the lines of a paper by Henneaux (hep-th/9902137) and are based on the requirement…

High Energy Physics - Theory · Physics 2014-11-18 R. C. Rashkov

We consider the problem of defining spacelike-supported boundary-to-bulk propagators in AdS$_{d+1}$ down to the unitary bound $\Delta=(d-2)/2$. That is to say, we construct the `smearing functions' $K$ of HKLL but with different boundary…

High Energy Physics - Theory · Physics 2019-12-13 Nicolás Del Grosso , Alan Garbarz , Gabriel Palau , Guillem Pérez-Nadal

Localized bulk excitations in AdS/CFT are produced by operators which modify the pattern of entanglement in the boundary state. We show that simple models--consisting of entanglement swapping operators acting on a qubit system or a free…

High Energy Physics - Theory · Physics 2017-04-05 William R. Kelly

Liouville conformal field theory is considered with conformal boundary. There is a family of conformal boundary conditions parameterized by the boundary cosmological constant, so that observables depend on the dimensional ratios of boundary…

High Energy Physics - Theory · Physics 2007-05-23 V. Fateev , A. Zamolodchikov , Al. Zamolodchikov

In gauge theories, globally charged observables necessarily depend non-locally on the kinematical fields, with this dependence extending to the asymptotic boundary of spacetime. Despite this, we show that a subset of such observables can be…

High Energy Physics - Theory · Physics 2025-12-19 Philipp A. Hoehn , Josh Kirklin

We consider the relevance of a collective field theory description for the AdS/CFT correspondence. Collective field theory performs a systematic reorganization of the degrees of freedom of a (non-gravitational) field theory, replacing the…

High Energy Physics - Theory · Physics 2023-09-21 Robert de Mello Koch

We review the definition of bulk and boundary conformal field theory in a way suited for logarithmic conformal field theory. The notion of a maximal bulk theory which can be non-degenerately joined to a boundary theory is defined. The…

High Energy Physics - Theory · Physics 2024-12-05 Ingo Runkel , Matthias R. Gaberdiel , Simon Wood

The AdS/CFT conjecture relates quantum gravity on Anti-de Sitter (AdS) space to a conformal field theory (CFT) defined on the spacetime boundary. We interpret the CFT in terms of natural analogues of the bulk S-matrix. Our first approach…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Steven B. Giddings , Albion Lawrence

Global conformal invariance determines the form of two and three-point functions of quasi-primary operators in a conformal field theory, and generates nontrivial relations between terms in the operator product expansion. These ideas are…

High Energy Physics - Theory · Physics 2017-10-04 Atreya Chatterjee , David A. Lowe

We study gauging operations (or group extensions) in (smeared) boundary conformal field theories (BCFTs) and bulk conformal field theories, and their applications to various phenomena in topologically ordered systems. We apply the resultant…

High Energy Physics - Theory · Physics 2025-08-22 Yoshiki Fukusumi

The relation between two-dimensional conformal quantum field theories with and without a timelike boundary is explored.

Mathematical Physics · Physics 2009-12-10 Roberto Longo , Karl-Henning Rehren

Boundary conformal field theory (BCFT) provides a universal framework for critical phenomena in the presence of boundaries. We determine BCFT data for the normal and ordinary boundary universality classes of the $1+1$-dimensional boundaries…

Strongly Correlated Electrons · Physics 2026-04-24 Jiechao Feng , Taige Wang

Quantum fluctuations of a certain class of bulk operators defined in spatial sub-volumes of Minkowski space-time, have an unexpected area scaling property. We wish to present evidence that such area scaling may be ascribed to a boundary…

High Energy Physics - Theory · Physics 2009-11-10 Ram Brustein , David H. Oaknin , Amos Yarom

Previous work has established an equality between the geodesic integral of a free bulk field in AdS and the contribution of the conformal descendants of its dual CFT primary operator to the OPE of two other operators inserted at the…

High Energy Physics - Theory · Physics 2017-01-05 Monica Guica