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In anti-de Sitter (AdS) space, classical supergravity solutions are represented "holographically" by conformal field theory (CFT) states in which operators have expectation values. These 1-point functions are directly related to the…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Simon F. Ross

The celebrated holographic duality posits a correspondence between a quantum gravity in a bulk spacetime and a quantum field theory (QFT) defined on its lower-dimensional boundary. This duality not only offers deep insights into the…

In this second installment of a series of two papers on the $\tfrac{1}{2}$-BPS Wilson line defect CFT in $\mathcal{N}=4$ super Yang-Mills, we focus on dynamical aspects of the theory, in particular studying four-point functions with…

High Energy Physics - Theory · Physics 2024-05-03 Pietro Ferrero , Carlo Meneghelli

In this review we discuss recent advances in the computation of one-point functions in defect conformal field theories with holographic duals. We briefly review the appearance of integrable spin chains in N=4 super Yang--Mills theory and…

High Energy Physics - Theory · Physics 2020-08-26 Marius de Leeuw

We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field…

High Energy Physics - Theory · Physics 2023-02-22 Heng-Yu Chen , Shi Chen , Yasuaki Hikida

We use holography to study codimension-2 surface defects in 5d SCFTs engineered by $(p,q)$ 5-brane webs. The three-dimensional defects are realized by D3-branes ending on the brane web. We identify the holographic representation of the…

High Energy Physics - Theory · Physics 2021-06-03 Michael Gutperle , Christoph F. Uhlemann

We discuss dynamical response functions near quantum critical points, allowing for both a finite temperature and detuning by a relevant operator. When the quantum critical point is described by a conformal field theory (CFT), conformal…

High Energy Physics - Theory · Physics 2017-08-03 Andrew Lucas , Todd Sierens , William Witczak-Krempa

We argue that the AdS/CFT calculational prescription for double-trace deformations leads to a holographic derivation of the conformal anomaly, and its conformal primitive, associated to the whole family of conformally covariant powers of…

High Energy Physics - Theory · Physics 2014-11-18 Danilo E. Diaz

We investigate the AdS$_3$/CFT$_2$ correspondence for the Euclidean AdS$_3$ space compactified on a solid torus with the CFT field on the regularizing boundary surface in the bulk. Correlation functions corresponding to the bulk theory at…

High Energy Physics - Theory · Physics 2007-05-23 L. Chekhov

In this paper, we study the holographic descriptions of the conformal block of heavy operators in two-dimensional large c conformal field theory. We consider the case that the operators are pairwise inserted such that the distance between…

High Energy Physics - Theory · Physics 2016-11-23 Bin Chen , Jie-qiang Wu , Jia-ju Zhang

In the first part of this paper we provide a short introduction to the AdS/CFT correspondence and to holographic renormalization. We discuss how QFT correlation functions, Ward identities and anomalies are encoded in the bulk geometry. In…

High Energy Physics - Theory · Physics 2007-05-23 Ioannis Papadimitriou , Kostas Skenderis

Holographic QCD reproduces the leading short-distance vector-current two-point function in vacuum, fixing the bulk gauge coupling by matching the logarithmic $Q^2$ dependence of the boundary current correlator. We show that this vacuum…

High Energy Physics - Theory · Physics 2026-04-15 Kiminad A. Mamo

According to the AdS/CFT dictionary, adding a relevant double-trace deformation $f\int O^2$ to a holographic CFT action is dual to imposing mixed Neumann/Dirichlet boundary conditions for the field dual to $O$ in AdS. We observed similar…

High Energy Physics - Theory · Physics 2024-04-29 Machiko Fukada , Akihiro Miyata

It has recently been conjectured that the AdS_5/SYM_4 correspondence can be generalized away from the conformal limit, to a duality between supergravity on the full asymptotically flat three-brane background and a theory characterized as…

High Energy Physics - Theory · Physics 2010-02-03 Ulf H. Danielsson , Alberto Guijosa , Martin Kruczenski , Bo Sundborg

Recently, with the help of Parisi-Sourlas supersymmetry an intriguing relation was found expressing the four-point scalar conformal block of a (d-2)-dimensional CFT in terms of a five-term linear combination of blocks of a d-dimensional…

High Energy Physics - Theory · Physics 2021-04-07 Sarah Hoback , Sarthak Parikh

The spectrum of two-point functions in a holographic renormalization group flow from an ultraviolet (UV) to an infrared (IR) conformal fixed point is necessarily continuous. For a toy model, the spectral function does not only show the…

High Energy Physics - Theory · Physics 2009-01-30 Wolfgang Mueck

We extend the work of [4] to support the conjecture that any conformal field theory with a large N expansion and a large gap in the spectrum of anomalous dimensions has a local bulk dual. We count to O(1/N^2) the solutions to the crossing…

High Energy Physics - Theory · Physics 2014-11-21 Idse Heemskerk , James Sully

We investigate the problem of bulk metric reconstruction in holography by leveraging the inverse scattering framework applied to boundary two-point correlation functions. We generalize our previous work of scalar field and show that…

High Energy Physics - Theory · Physics 2025-11-25 Bo-Wen Fan , Run-Qiu Yang

We propose the holographic interpretation of the 1-point conformal block on a torus in the semiclassical regime. To this end we consider the linearized version of the block and find its coefficients by means of the perturbation procedure…

High Energy Physics - Theory · Physics 2016-08-30 K. B. Alkalaev , V. A. Belavin

We use the AdS/CFT correspondence to explicitly calculate some of the three-point functions in the planar limit of the 4d $\mathcal{N}=1$ Leigh-Strassler SCFT. This strongly interacting CFT can be obtained as a mass deformation of the 4d…

High Energy Physics - Theory · Physics 2025-10-23 Nikolay Bobev , Hynek Paul