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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 study general correlation functions of various quantum field theories in the holographic setup. Following the holographic proposal, we investigate correlation functions via a geodesic length connecting boundary operators. We show that…

High Energy Physics - Theory · Physics 2023-12-21 Hanse Kim , Jitendra Pal , Chanyong Park

We study the AdS/CFT correspondence with a brane extending in AdS, a setup which is dual to CFT in the presence of a defect. We focus on the correlation function of two local operators and the defect, which is the simplest observable with…

High Energy Physics - Theory · Physics 2023-06-22 Aleix Gimenez-Grau

In the context of $\rm AdS_3/CFT_2$, we investigate holographic correlators of the stress tensor of a conformal field theory (CFT) on a torus in this work. To calculate the correlators of the stress tensor, we employ the Einstein-Hilbert…

High Energy Physics - Theory · Physics 2023-07-05 Song He , Yi Li , Yun-Ze Li , Yunda Zhang

We compute three-point correlators between the stress-energy tensor and conserved currents of conformal field theories (CFTs) in 2+1 dimensions. We first compute the correlators in the large-flavor-number expansion of conformal gauge…

Strongly Correlated Electrons · Physics 2014-10-06 Debanjan Chowdhury , Suvrat Raju , Subir Sachdev , Ajay Singh , Philipp Strack

In this work, we present a comprehensive study of holographic stress tensor correlators on general Riemann surfaces, extending beyond the previously well-studied torus cases to explore higher genus conformal field theories (CFTs) within the…

High Energy Physics - Theory · Physics 2024-08-13 Song He , Yun-Ze Li , Yunfei Xie

Recently a Mellin-space formula was conjectured for the form of correlation functions of $1/2$ BPS operators in planar $\mathcal{N}=4$ SYM in the strong 't Hooft coupling limit. In this work we report on the computation of two previously…

High Energy Physics - Theory · Physics 2018-09-17 Gleb Arutyunov , Rob Klabbers , Sergei Savin

We consider the correlation functions of Coulomb branch operators in four-dimensional N=2 Superconformal Field Theories (SCFTs) involving exactly one anti-chiral operator. These extremal correlators are the "minimal" non-holomorphic local…

High Energy Physics - Theory · Physics 2017-01-26 Efrat Gerchkovitz , Jaume Gomis , Nafiz Ishtiaque , Avner Karasik , Zohar Komargodski , Silviu S. Pufu

The non-renormalization of the 3-point functions $tr X^{k_1} tr X^{k_2} tr X^{k_3}$ of chiral primary operators in N=4 super-Yang-Mills theory is one of the most striking facts to emerge from the AdS/CFT correspondence. A two-fold puzzle…

High Energy Physics - Theory · Physics 2016-11-23 E. D'Hoker , D. Z. Freedman , S. D. Mathur , A. Matusis , L. Rastelli

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 construct a Super-Grassmannian integral representation for $n-$point functions in $\mathcal{N}=1$ SCFT$_3$. In this formalism, conformal invariance, supersymmetry, and special superconformal invariance are implemented manifestly through…

High Energy Physics - Theory · Physics 2026-04-10 Aswini Bala , Sachin Jain , Dhruva K. S. , Adithya A Rao

We provide strong evidence that all tree-level 4-point holographic correlators in AdS$_3 \times S^3$ are constrained by a hidden 6D conformal symmetry. This property has been discovered in the AdS$_5 \times S^5$ context and noticed in the…

High Energy Physics - Theory · Physics 2021-02-03 Stefano Giusto , Rodolfo Russo , Alexander Tyukov , Congkao Wen

A discussion of the AdS/CFT correspondence in IIB is given in a superspace context. The main emphasis is on the properties of SCFT correlators on the boundary which are studied using harmonic superspace techniques. These techniques provide…

High Energy Physics - Theory · Physics 2009-11-07 P. S. Howe , P. C. West

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

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 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

By taking the interacting spinor-scalar theory on the $AdS_{d+1}$ space we calculate the boundary CFT correlation functions using AdS/CFT correspondence.

High Energy Physics - Theory · Physics 2008-11-26 A. M. Ghezelbash , K. Kaviani , S. Parvizi , A. H. Fatollahi

${\cal N} = 8$ superconformal field theories, such as the ABJM theory at Chern-Simons level $k=1$ or $2$, contain 35 scalar operators ${\cal O}_{IJ}$ with $\Delta=1$ in the ${\bf 35}_v$ representation of SO(8). The 3-point correlation…

High Energy Physics - Theory · Physics 2017-06-28 Daniel Z. Freedman , Krzysztof Pilch , Silviu S. Pufu , Nicholas P. Warner

A holographic method for implementing a particular supersymmetry-preserving deformation to 4d SCFTs is presented. At the heart of the procedure is a soliton solution of minimal $d=5$ gauged supergravity. Embedding this solution into ten-…

High Energy Physics - Theory · Physics 2024-11-25 Dimitrios Chatzis , Ali Fatemiabhari , Carlos Nunez , Peter Weck

Carrollian Conformal Field Theories (CFTs) have been proposed as co-dimension one holographic duals to asymptotically flat spacetimes as opposed to Celestial CFTs which are co-dimension two. In this paper, drawing inspiration from Celestial…

High Energy Physics - Theory · Physics 2023-05-17 Arjun Bagchi , Prateksh Dhivakar , Sudipta Dutta