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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

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 revisit the calculation of holographic correlators for eleven-dimensional supergravity on $AdS_7\times S^4$. Our methods rely entirely on symmetry and eschew detailed knowledge of the supergravity effective action. By an extension of the…

High Energy Physics - Theory · Physics 2018-08-01 Leonardo Rastelli , Xinan Zhou

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 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 give a detailed account of the methods introduced in [1] to calculate holographic four-point correlators in IIB supergravity on $AdS_5 \times S^5$. Our approach relies entirely on general consistency conditions and maximal supersymmetry.…

High Energy Physics - Theory · Physics 2020-05-20 Leonardo Rastelli , Xinan Zhou

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

In this work, we study the $\frac{1}{8}$-BPS heavy-heavy-light-light correlators in the D1D5 CFT and its holographic dual. On the field theory side, we compute the fermionic four-point correlators at the free orbifold point. On the dual…

High Energy Physics - Theory · Physics 2019-10-23 Jia Tian , Jue Hou , Bin Chen

Holographic duality provides a microscopic interpretation of asymptotically Anti-de Sitter supergravity solutions. The dual states of the field theory give rise to expectation values of light operators. These expectation values correspond…

High Energy Physics - Theory · Physics 2025-07-04 David Turton , Alexander Tyukov

We consider heavy-heavy-light-light (HHLL) correlators in AdS/CFT, focussing on the D1D5 CFT$_2$ and the ${\cal N}= 4$ super Yang-Mills theory. Out of the lightest $1/2$-BPS operator in the spectrum, $O$, we construct a particular heavy…

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

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

We present a formula for the holographic 4-point correlators in AdS$_3 \times S^3$ involving four single-trace operators of dimension $k, k, l, l$. As an input we use the supergravity results for the Heavy-Heavy-Light-Light correlators that…

High Energy Physics - Theory · Physics 2019-10-02 Stefano Giusto , Rodolfo Russo , Alexander Tyukov , Congkao Wen

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 various types of holographic solutions from five-dimensional $N=4$ gauged supergravity coupled to three vector multiplets with $SO(2)\times ISO(3)$ gauge group. This gauged supergravity can be obtained from the maximal gauged…

High Energy Physics - Theory · Physics 2025-10-21 Parinya Karndumri

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

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 use holography to study correlation functions of local operators in maximally supersymmetric Yang-Mills theories arising on the world-volume of D$p$-branes in the large-$N$ and strong-coupling limit. The relevant supergravity backgrounds…

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

The four-point correlation function of two 1/2 BPS primaries of conformal weight $\Delta=2$ and two 1/2-BPS primaries of conformal weight $\Delta=n$ is calculated in the large 't Hooft, large $N$ limit. These operators are dual to…

High Energy Physics - Theory · Physics 2009-04-02 Linda I. Uruchurtu

We use holographic techniques to compute two-point functions of operators belonging to a conserved current supermultiplet in theories which break supersymmetry at strong coupling. These are the relevant quantities one has to compute in…

High Energy Physics - Theory · Physics 2015-06-05 Riccardo Argurio , Matteo Bertolini , Lorenzo Di Pietro , Flavio Porri , Diego Redigolo

Given an asymptotically Anti-de Sitter supergravity solution, one can obtain a microscopic interpretation by identifying the corresponding state in the holographically dual conformal field theory. This is of particular importance for heavy…

High Energy Physics - Theory · Physics 2022-12-19 Sami Rawash , David Turton
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