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Extended objects such as line or surface operators, interfaces or boundaries play an important role in conformal field theory. Here we propose a systematic approach to the relevant conformal blocks which are argued to coincide with the wave…

High Energy Physics - Theory · Physics 2018-11-14 Mikhail Isachenkov , Pedro Liendo , Yannick Linke , Volker Schomerus

We study CFT$_2$ Virasoro conformal blocks of the 4-point correlation function $\langle \mathcal{O}_L \mathcal{O}_H \mathcal{O}_H \mathcal{O}_H \rangle $ with three background operators $\mathcal{O}_H$ and one perturbative operator…

High Energy Physics - Theory · Physics 2019-09-04 K. B. Alkalaev , Mikhail Pavlov

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

We explore the conjectured duality between the critical O(N) vector model and minimal bosonic massless higher spin (HS) theory in AdS. In the boundary free theory, the conformal partial wave expansion (CPWE) of the four-point function of…

High Energy Physics - Theory · Physics 2009-11-11 Danilo E. Diaz , Harald Dorn

We explore conformally coupled scalar theory in AdS$_{6}$ extensively and their classical solutions by employing power expansion order by order in its self-interaction coupling $\lambda$. We study holographic correlation functions of scalar…

High Energy Physics - Theory · Physics 2020-12-30 Jae-Hyuk Oh

We compute holographically correlation functions for giant gravitons in $\mathcal{N}=4$ SYM in the presence of monodromy defects through probe branes. The computation boils down to the study of charged geodesics in certain five-dimensional…

High Energy Physics - Theory · Physics 2026-01-27 Diego Rodriguez-Gomez

We explore the two holographic complexity proposals for the case of a 2d boundary CFT with a conformal defect. We focus on a Randall-Sundrum type model of a thin AdS$_2$ brane embedded in AdS$_3$. We find that, using the "complexity=volume"…

High Energy Physics - Theory · Physics 2019-06-05 Shira Chapman , Dongsheng Ge , Giuseppe Policastro

We set up precision holography for the non-conformal branes preserving 16 supersymmetries. The near-horizon limit of all such p-brane solutions with p \leq 4, including the case of fundamental string solutions, is conformal to AdS_{p+2} x…

High Energy Physics - Theory · Physics 2009-11-13 Ingmar Kanitscheider , Kostas Skenderis , Marika Taylor

We consider large-$c$ $n$-point Virasoro blocks with $n-k$ background heavy operators and $k$ perturbative heavy operators. Conformal dimensions of heavy operators scale linearly with large $c$, while splitting into background/perturbative…

High Energy Physics - Theory · Physics 2020-05-20 K. B. Alkalaev , Mikhail Pavlov

Asymptotically AdS wormhole solutions are considered in the context of holography. Correlation functions of local operators on distinct boundaries are studied. It is found that such correlators are finite at short distances. Correlation…

High Energy Physics - Theory · Physics 2019-06-26 Panos Betzios , Elias Kiritsis , Olga Papadoulaki

We study the anomalies of two-dimensional BPS defects in six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories. Using a holographic description of these defects furnished by probe D4-branes in AdS${}_7$ solutions of…

High Energy Physics - Theory · Physics 2024-08-27 Fabio Apruzzi , Noppadol Mekareeya , Brandon Robinson , Alessandro Tomasiello

We calculate planar tree level one-point functions of non-protected operators in the defect conformal field theory dual to the D3-D5 brane system with k units of the world volume flux. Working in the operator basis of Bethe eigenstates of…

High Energy Physics - Theory · Physics 2015-09-30 Marius de Leeuw , Charlotte Kristjansen , Konstantin Zarembo

Topological symmetry operators of holographic large $N$ CFT$_D$'s are dual to dynamical branes in the gravity dual AdS$_{D+1}$. We use this correspondence to establish a dictionary between thermal expectation values of symmetry operators in…

High Energy Physics - Theory · Physics 2025-10-09 Jonathan J. Heckman , Max Hübner , Chitraang Murdia

We employ double holography to examine a system of two entangled gravitating universes that live on two codimension-one branes in an asymptotically AdS$_3$ spacetime with two disjoint conformal boundaries. There are distinct brane…

High Energy Physics - Theory · Physics 2024-03-27 Robert C. Myers , Shan-Ming Ruan , Tomonori Ugajin

In this thesis we study two-dimensional conformal field theories with Virasoro algebra symmetry, following the conformal bootstrap approach. Under the assumption that degenerate fields exist, we provide an extension of the analytic…

High Energy Physics - Theory · Physics 2019-02-06 Santiago Migliaccio

We examine the correspondence between the conformal field theory of boundary operators and two-dimensional hyperbolic geometry. By consideration of domain boundaries in two-dimensional critical systems, and the invariance of the hyperbolic…

High Energy Physics - Theory · Physics 2009-10-22 P. Kleban , I. Vassileva

We discuss the computation of holographic entanglement entropy for interface conformal field theories. The fact that globally well defined Fefferman-Graham coordinates are difficult to construct makes the regularization of the holographic…

High Energy Physics - Theory · Physics 2017-03-22 Michael Gutperle , Andrea Trivella

The strong coupling dynamics of a 2+1 dimensional U(1) gauge theory coupled to charged matter is holographically modeled via a top-down construction with intersecting D3- and D5-branes. We explore the resulting phase diagram at finite…

High Energy Physics - Theory · Physics 2016-11-30 T. Alho , V. Giangreco M. Puletti , R. Pourhasan , L. Thorlacius

Holographic thermal two-point functions can be analyzed using the operator product expansion which contains contributions from both multi-stress-tensor and double-trace operators. The former can be computed by analyzing the bulk equation of…

High Energy Physics - Theory · Physics 2025-09-23 Ilija Burić , Ivan Gusev , Andrei Parnachev

We study CFT2 conformal blocks on a torus and their holographic realization. The classical conformal blocks arising in the regime where conformal dimensions grow linearly with the large central charge are shown to be holographically dual to…

High Energy Physics - Theory · Physics 2017-11-22 K. B. Alkalaev , V. A. Belavin
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