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We establish shape holomorphy results for general weakly- and hyper-singular boundary integral operators arising from second-order partial differential equations in unbounded two-dimensional domains with multiple finite-length open arcs.…

Analysis of PDEs · Mathematics 2023-05-26 Jose Pinto , Fernando Henríquez , Carlos Jerez-Hanckes

Surface operators are among the most important observables of the 6d $\mathcal{N} = (2,0)$ theory. Here we apply the tools of defect CFT to study local operator insertions into the 1/2-BPS plane. We first relate the 2-point function of the…

High Energy Physics - Theory · Physics 2021-04-01 Nadav Drukker , Malte Probst , Maxime Trépanier

We suggest that the principle of holographic duality can be extended beyond conformal invariance and AdS isometry. Such an extension is based on a special relation between functional determinants of the operators acting in the bulk and on…

High Energy Physics - Theory · Physics 2015-06-23 A. O. Barvinsky

We introduce and study generalized holographic superconductors with higher derivative couplings between the field strength tensor and a complex scalar field, in four dimensional AdS black hole backgrounds. We study this theory in the probe…

High Energy Physics - Theory · Physics 2015-06-19 Anshuman Dey , Subhash Mahapatra , Tapobrata Sarkar

We compute the two-point correlation functions for the spin-3 theory in three dimensional (Anti-) de Sitter spacetimes by using holographic renormalisation. For the AdS case, we find results consistent with the general requirements of…

High Energy Physics - Theory · Physics 2013-01-14 Shailesh Lal , Bindusar Sahoo

We present a constructive derivation of holographic four-point correlators of arbitrary half-BPS operators for all maximally supersymmetric conformal field theories in $d>2$. This includes holographic correlators in 3d ${\cal N}=8$ ABJM…

High Energy Physics - Theory · Physics 2021-03-24 Luis F. Alday , Xinan Zhou

We study classical M5 brane solutions in the probe limit in the $AdS_7 \times S^4$ spacetime geometry with worldvolume 3-form flux. These solutions describe the holography of codimension-4 defects in the 6d boundary dual $\mathcal{N}=(0,2)$…

High Energy Physics - Theory · Physics 2024-04-19 Varun Gupta

We discuss holography for Schrodinger solutions of both topologically massive gravity in three dimensions and massive vector theories in (d+1) dimensions. In both cases the dual field theory can be viewed as a d-dimensional conformal field…

High Energy Physics - Theory · Physics 2011-02-15 Monica Guica , Kostas Skenderis , Marika Taylor , Balt van Rees

We develop a group theoretical formalism to study correlation functions in defect conformal field theory, with multiple insertions of bulk and defect fields. This formalism is applied to construct the defect conformal blocks for three-point…

High Energy Physics - Theory · Physics 2022-12-12 Ilija Buric , Volker Schomerus

We study the holographic duality between the reflected entropy and the entanglement wedge cross section with the first order correction. In the field theory side, we consider the reflected entropy for $\rho_{AB}^m$, where $\rho_{AB}$ is the…

High Energy Physics - Theory · Physics 2024-07-01 Hyun-Sik Jeong , Keun-Young Kim , Mitsuhiro Nishida

We derive the connected tree-level part of 4-point holographic correlators in AdS$_3\times S^3\times \mathcal{M}$ (where ${\cal M}$ is $T^4$ or $K3$) involving two multi-trace and two single-trace operators. These connected correlators are…

High Energy Physics - Theory · Physics 2021-07-01 Nejc Ceplak , Stefano Giusto , Marcel R. R. Hughes , Rodolfo Russo

Large classes of warped AdS$_6$ solutions were constructed recently in Type IIB supergravity, and identified as holographic duals for five-dimensional superconformal field theories realized by $(p,q)$ five-brane webs. We confront…

High Energy Physics - Theory · Physics 2018-10-31 Martin Fluder , Christoph F. Uhlemann

We compute the most general embedding space two-point function in arbitrary Lorentz representations in the context of the recently introduced formalism in arXiv:1905.00036 and arXiv:1905.00434. This work provides a first explicit…

High Energy Physics - Theory · Physics 2020-05-20 Jean-François Fortin , Valentina Prilepina , Witold Skiba

The analytic structure of holographic correlation functions at finite temperature contains information about curvature singularities of black holes in AdS. We compute the Operator Product Expansion (OPE) coefficients of the holographic…

High Energy Physics - Theory · Physics 2025-11-14 Nejc Čeplak , Hong Liu , Andrei Parnachev , Samuel Valach

We propose a new class of holographic dualities between certain, generically non supersymmetric, defect conformal field theories (dCFTs) and their gravity duals. Our construction interpolates between the 1/2-BPS D3-D3 system and its field…

High Energy Physics - Theory · Physics 2026-04-27 George Georgiou , Dimitrios Zoakos

Based on the holographic conjecture for superstrings on Dp-brane backgrounds and the dual (p+1)-dimensional gauge theory ($0\le p\le 4$) given in hep-th/0308024 and hep-th/0405203, we continue the study of superstring amplitudes including…

High Energy Physics - Theory · Physics 2016-09-06 Masako Asano

We propose a holographic dual of a conformal field theory defined on a manifold with boundaries, i.e. boundary conformal field theory (BCFT). Our new holography, which may be called AdS/BCFT, successfully calculates the boundary entropy or…

High Energy Physics - Theory · Physics 2013-05-29 Tadashi Takayanagi

Known holographic dictionaries, especially AdS/CFT, rely on symmetry matching between the bulk and the boundary. We take a step toward a holographic dictionary with no symmetry requirement and without assuming the geometry being…

High Energy Physics - Theory · Physics 2026-02-25 Tamra Nebabu , Xiao-Liang Qi , Haifeng Tang , Huaijin Wang

We study two-dimensional conformal field theories (CFTs) with boundaries via the conformal bootstrap. We derive a positive semi-definite program from crossing symmetry of three observables: the annulus partition function, the two-point…

High Energy Physics - Theory · Physics 2025-06-24 Marco Meineri , Bharathkumar Radhakrishnan

We study defect CFT within the framework of holographic duality, emphasizing the impact of corner contributions. We model distinct conformal defects using interface branes that differ in tensions and are connected by a corner. Employing the…

High Energy Physics - Theory · Physics 2025-08-06 Xinyu Sun , Shao-Kai Jian