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This paper investigates holographic torus correlators of generic operators at conformal infinity and a finite cutoff within AdS$_3$ gravity coupled with a free scalar field. Using a near-boundary analysis and solving the gravitational…

High Energy Physics - Theory · Physics 2024-05-27 Song He , Yun-Ze Li , Yunda Zhang

The issue of holographic mapping between bulk and boundary in the plane-wave limit of AdS/SYM correspondence is reexamined from the viewpoint of correlation functions. We first study the limit of large angular momentum for the so-called…

High Energy Physics - Theory · Physics 2016-09-06 S. Dobashi , T. Yoneya

We consider the question of loop corrections (i.e. 1/N) in the vector model/higher spin duality following the recent work of Giombi and Klebanov. The purpose of this paper is to gain further more precise comparison between the two sides of…

High Energy Physics - Theory · Physics 2015-06-18 Antal Jevicki , Kewang Jin , Junggi Yoon

Assuming the existence of a field theory in D dimensions dual to (D+1)-dimensional flat space, governed by the asymptotic symmetries of flat space, we make some preliminary remarks about the properties of this field theory. We review…

High Energy Physics - Theory · Physics 2017-02-01 Arjun Bagchi , Rudranil Basu , Ashish Kakkar , Aditya Mehra

The correlation functions of an arbitrary number of boundary monomers in the system of close-packed dimers on the square lattice are computed exactly in the scaling limit. The equivalence of the 2n-point correlation functions with those of…

Statistical Mechanics · Physics 2008-11-26 Vyatcheslav B. Priezzhev , Philippe Ruelle

We study correlation functions of scalar operators on the boundary of the $AdS_3$ space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions we use the geodesic…

High Energy Physics - Theory · Physics 2016-12-15 D. S. Ageev , I. Ya. Aref'eva , M. D. Tikhanovskaya

We explore some aspects of three-dimensional higher-spin holography by studying scalar fluctuations in the background of higher-spin black holes. We furnish an independent derivation of the bulk-boundary propagator by purely invoking a…

High Energy Physics - Theory · Physics 2016-11-22 H. S. Tan

We consider the planar limit of Chern-Simons theories coupled to a scalar $\phi$ in the fundamental representation of a $U(N)_k$ gauge group, at both the regular and Wilson-Fisher conformal points. These theories have one single-trace…

High Energy Physics - Theory · Physics 2018-05-31 Ran Yacoby

We construct a class of operators, given by Schur polynomials, in ABJM theory. By computing two point functions at finite $N$ we confirm these are diagonal for this class of operators in the free field limit. We also calculate exact three…

High Energy Physics - Theory · Physics 2015-05-28 Tanay K. Dey

We consider the O(n) theory in the $n \to 0$ limit. We show that the theory is described by logarithmic conformal field theory, and that the correlation functions have logarithmic singularities. The explicit forms of the two-, three- and…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Sadegh Movahed , M. Saadat , M. Reza Rahimi Tabar

Understanding the link between correlation functions (CFs) of local operators and measurable collider correlators has emerged as a new opportunity in the study of gauge theory dynamics at colliders. While in Conformal Field Theories (CFTs)…

High Energy Physics - Theory · Physics 2026-03-25 Hao Chen , Pier Francesco Monni , Zhaoyan Pang , Gherardo Vita , Hua Xing Zhu

Boundary correlation functions provide insight into the emergence of an effective geometry in higher spin gravity duals of O(N) or U(N) symmetric field theories. On a compact manifold, the singlet constraint leads to nontrivial dynamics at…

High Energy Physics - Theory · Physics 2017-03-08 Irene Amado , Bo Sundborg , Larus Thorlacius , Nico Wintergerst

Supergravity calculations of holographic four-point correlation functions are a powerful tool for deriving dynamical information about the dual field theory at strong coupling. Recently, a number of such computations have been performed by…

High Energy Physics - Theory · Physics 2026-03-24 David Turton , Alexander Tyukov

Within the context of the AdS/CFT correspondence we attempt to formulate the cosmological constant problem in the dual conformal field theory. The fine-tuning of the bulk cosmological constant is related to an apparent fine-tuning in the…

High Energy Physics - Theory · Physics 2011-06-20 Kyriakos Papadodimas

We develop a Mellin space approach to boundary correlation functions in anti-de Sitter (AdS) and de Sitter (dS) spaces. Using the Mellin-Barnes representation of correlators in Fourier space, we show that the analytic continuation between…

High Energy Physics - Theory · Physics 2020-03-18 Charlotte Sleight , Massimo Taronna

A key insight of the bootstrap approach to cosmological correlations is the fact that all correlators of slow-roll inflation can be reduced to a unique building block---the four-point function of conformally coupled scalars, arising from…

High Energy Physics - Theory · Physics 2021-02-03 Daniel Baumann , Carlos Duaso Pueyo , Austin Joyce , Hayden Lee , Guilherme L. Pimentel

We study real-time holographic four point Wightman functions involving scalars, photons, gluons and gravitons in the Poincare patch of AdS$_4$. We show that when the momenta of the middle two operators are spacelike, four-point exchange…

High Energy Physics - Theory · Physics 2025-12-05 Arhum Ansari , Sachin Jain , Dhruva K. S

Within AdS/CFT, focusing on the AdS-Rindler wedge, we show that when $N$ is large but finite, correlation functions of reconstructed bulk operators grow exponentially with bulk momentum, overwhelming the usual $1/N$ suppression. The growth…

High Energy Physics - Theory · Physics 2025-08-18 Seiji Terashima

Correlation functions of operators with a conformal dimension of O(N^2) are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge…

High Energy Physics - Theory · Physics 2009-09-28 Robert de Mello Koch , Tanay K. Dey , Norman Ives , Michael Stephanou

We consider a loop representation of the $O(n)$ model at the critical point. When $n=0$ the model represents ensembles of self-avoiding loops (i.e., it corresponds to SLE with $\kappa=8/3$), and can be described by the logarithmic conformal…

Mathematical Physics · Physics 2021-02-16 Oleg Alekseev
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