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The AdS/CFT duality maps supersymmetric heavy operators with conformal dimension of the order of the central charge to asymptotically AdS supergravity solutions. We show that by studying the quadratic fluctuations around such backgrounds it…

High Energy Physics - Theory · Physics 2017-10-25 Andrea Galliani , Stefano Giusto , Rodolfo Russo

We compute 4-point correlators in $\mathcal{N} = 4$ $SU(N)$ Super-Yang-Mills with both single and double-particle $1/2$-BPS operators in the regime of large 't Hooft coupling and large $N$. In particular we give explicit expressions up to…

High Energy Physics - Theory · Physics 2025-07-18 Francesco Aprile , Stefano Giusto , Rodolfo Russo

We study Heavy-Heavy-Light-Light (HHLL) correlators $\langle \mathcal{H} \mathcal{H} \mathcal{O}_2 \mathcal{O}_2 \rangle$ in $\mathcal{N}=4$ super Yang-Mills theory with $SU(N)$ gauge group at generic $N$. The light operator $\mathcal{O}_2$…

High Energy Physics - Theory · Physics 2024-12-23 Augustus Brown , Francesco Galvagno , Congkao Wen

Following the recent advances in the holographic calculation of n-point correlation functions with two "heavy" (with large quantum numbers) states at strong coupling, we extend these findings by computing specific four-point correlators of…

High Energy Physics - Theory · Physics 2014-04-01 D. Arnaudov , R. C. Rashkov

We argue that the conventional method to calculate the OPE coefficients in the strong coupling limit for heavy-heavy-light operators in the N=4 Super-Yang-Mills theory has to be modified by integrating the light vertex operator not only…

High Energy Physics - Theory · Physics 2015-06-19 Zoltan Bajnok , Romuald A. Janik , Andrzej Wereszczynski

We bootstrap tree-level supergravity four-point correlators on AdS$_5\times$S$^5$ with one external half-BPS double-particle operator and three half-BPS single-particle operators. Our only input is the consistency of the operator product…

High Energy Physics - Theory · Physics 2026-01-23 Francesco Aprile , Stefano Giusto , Rodolfo Russo , Joao Vilas Boas

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

We study the analytic structure of the heavy-heavy-light-light holographic correlators in the supergravity approximation of the AdS$_3 \times S^3$/CFT$_2$ duality. As an explicit example, we derive the correlator where the heavy operator is…

High Energy Physics - Theory · Physics 2023-11-09 Stefano Giusto , Cristoforo Iossa , Rodolfo Russo

We examine the Regge limit of holographic 4-point correlation functions in AdS$_3\times S^3$ involving two heavy and two light operators. In this kinematic regime such correlators can be reconstructed from the bulk phase shift accumulated…

High Energy Physics - Theory · Physics 2021-07-21 Nejc Ceplak , Marcel R. R. Hughes

We derive the four-point correlators of scalar operators of dimension one in the supergravity limit of the D1D5 CFT holographically dual to string theory on AdS$_3\times S^3\times \mathcal{M}$, with $\mathcal{M}$ either $T^4$ or $K3$. We…

High Energy Physics - Theory · Physics 2019-05-01 Stefano Giusto , Rodolfo Russo , Congkao Wen

We study the large-charge sector of $\mathcal{N}=4$ super Yang-Mills theory (SYM) with $SU(N)$ gauge group by constructing a special class of half-BPS heavy operators, termed "canonical operators". Such operators exhibit remarkable…

High Energy Physics - Theory · Physics 2025-04-15 Augustus Brown , Francesco Galvagno , Alba Grassi , Cristoforo Iossa , Congkao Wen

3-point correlators in AdS_5xS^5 string theory in which two states are "heavy" (have large quantum numbers) and the third is "light" (here chosen as chiral primary scalar) can be computed semiclassically in terms of the "light" vertex…

High Energy Physics - Theory · Physics 2011-02-16 J. G. Russo , A. A. Tseytlin

We compute $1/\lambda$ corrections to the four-point functions of half-BPS operators in $SU(N)$ $\mathcal{N}=4$ super-Yang-Mills theory at large $N$ and large 't Hooft coupling $\lambda=g_\text{YM}^2 N$ using two methods. Firstly, we relate…

High Energy Physics - Theory · Physics 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu , Yifan Wang

We compute a large collection of string worldsheet correlators describing light probes interacting with heavy black hole microstates. The heavy states consist of NS5 branes carrying momentum and/or fundamental string charge. In the…

High Energy Physics - Theory · Physics 2023-03-29 Davide Bufalini , Sergio Iguri , Nicolas Kovensky , David Turton

We study correlation functions of local operator insertions on the 1/2-BPS Wilson line in ${\cal N}=4$ super Yang-Mills theory. These correlation functions are constrained by the 1d superconformal symmetry preserved by the 1/2-BPS Wilson…

High Energy Physics - Theory · Physics 2019-05-20 Simone Giombi , Radu Roiban , Arkady A. Tseytlin

We compute four-point functions in the Heavy-Heavy-Light-Light limit involving all possible $\frac{1}{8}$-BPS heavy states whose dual supergravity solutions are explicitly known, avoiding the use of Witten diagrams. This is achieved by…

High Energy Physics - Theory · Physics 2019-06-24 Alessandro Bombini , Andrea Galliani

Four-point correlation functions are observables of significant interest in holographic field theories. We compute an infinite family of four-point correlation functions of operators in short multiplets of 4D N=4 super Yang-Mills theory in…

High Energy Physics - Theory · Physics 2024-12-19 David Turton , Alexander Tyukov

We study a class of heavy-heavy-light-light (HHLL) integrated correlators of superconformal primary operators in $SU(N)$ $\mathcal{N}=4$ super Yang-Mills theory involving two light operators from the stress-tensor multiplet and two heavy…

High Energy Physics - Theory · Physics 2025-11-17 Augustus Brown , Daniele Dorigoni , Francesco Galvagno , Congkao Wen

We consider a set of half-BPS operators in $\mathcal{N}=4$ super Yang-Mills theory which are appropriate for describing single-particle states of superstring theory on AdS${}_5 \times S^5$. These single-particle operators are defined to…

High Energy Physics - Theory · Physics 2021-03-17 F. Aprile , J. M. Drummond , P. Heslop , H. Paul , F. Sanfilippo , M. Santagata , A. Stewart

We consider a semiclassical (large string tension ~ \lambda^1/2) limit of 4-point correlator of two "heavy" vertex operators with large quantum numbers and two "light" operators. It can be written in a factorized form as a product of two…

High Energy Physics - Theory · Physics 2011-03-18 E. I. Buchbinder , A. A. Tseytlin
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