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We give a new formula for all tree-level correlators of boundary field insertions in gauged N=8 supergravity in AdS_4; this is an analog of the tree-level S-matrix in anti-de Sitter space. The formula is written in terms of rational maps…

High Energy Physics - Theory · Physics 2016-01-20 Tim Adamo

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 demonstrate the simplicity of $AdS_5\times S^5$ IIB supergravity at one loop level, by studying non-planar holographic four-point correlators in Mellin space. We develop a systematic algorithm for constructing one-loop Mellin amplitudes…

High Energy Physics - Theory · Physics 2020-09-01 Luis F. Alday , Xinan Zhou

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

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

Recently four-point holographic correlators with arbitrary external BPS operators were constructively derived in [1,2] at tree-level for maximally superconformal theories. In this paper, we capitalize on these theoretical data, and perform…

High Energy Physics - Theory · Physics 2021-04-12 Connor Behan , Pietro Ferrero , Xinan Zhou

We calculate holographically arbitrary n-point correlators of the boundary stress tensor in three-dimensional Einstein gravity with negative or vanishing cosmological constant. We provide explicit expressions up to 5-point (connected)…

High Energy Physics - Theory · Physics 2016-03-23 Arjun Bagchi , Daniel Grumiller , Wout Merbis

We study correlators of four protected (half-BPS) operators in strongly coupled supersymmetric Yang-Mills theory. These are dual to tree-level supergravity amplitudes on AdS${}_5\times$S${}_5$ for various spherical harmonics on the…

High Energy Physics - Theory · Physics 2019-02-20 Simon Caron-Huot , Anh-Khoi Trinh

We calculate 2-point correlators for New Massive Gravity at the chiral point and find that they behave precisely as those of a logarithmic conformal field theory, which is characterized in addition to the central charges c_L = c_R = 0 by…

High Energy Physics - Theory · Physics 2014-11-20 Daniel Grumiller , Olaf Hohm

We study near-extremal n-point correlation functions of chiral primary operators, in which the maximal scale dimension k is related to the others by k=\sum_i k_i-m with m equal to or smaller than n-3. Through order g^2 in field theory, we…

High Energy Physics - Theory · Physics 2016-09-06 E. D'Hoker , J. Erdmenger , D. Z. Freedman , M. Perez-Victoria

We bootstrap all of the next-next-to-extremal one-loop four-point correlators of supergravitons and supergluons in ${\rm AdS_5}$ using a differential representation, and obtain closed formulas that are valid in both position space and…

High Energy Physics - Theory · Physics 2025-02-06 Zhongjie Huang , Bo Wang , Ellis Ye Yuan

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 couple n copies of N=(2,0) scalar multiplets to a gauged N=(2,0) supergravity in 2+1 dimensions which admits AdS_3 as a vacuum. The scalar fields are charged under the gauged R-symmetry group U(1) and parametrize certain Kahler manifolds…

High Energy Physics - Theory · Physics 2009-10-31 N. S. Deger , A. Kaya , E. Sezgin , P. Sundell

We present a twistor-like formula for the complete tree-level S matrix of 6D $(2,0)$ supergravity coupled to $21$ abelian tensor multiplets. This is the low-energy effective theory that corresponds to Type IIB superstring theory…

High Energy Physics - Theory · Physics 2019-03-29 Matthew Heydeman , John H. Schwarz , Congkao Wen , Shun-Qing Zhang

We consider the four-point function of the stress tensor multiplet superprimary in $\mathcal{N}=4$ super-Yang-Mills (SYM) with gauge group $SU(N)$ in the large $N$ and large 't Hooft coupling $\lambda\equiv g_\text{YM}^2N$ limit, which is…

High Energy Physics - Theory · Physics 2021-10-26 Shai M. Chester

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 study the four point function of the superconformal primary of the stress-tensor multiplet in four dimensional $\mathcal{N}=4$ Super Yang Mills, at large 't Hooft coupling and in a large $N$ expansion. This observable is holographically…

High Energy Physics - Theory · Physics 2021-09-03 A. Bissi , G. Fardelli , A. Georgoudis

We propose an AdS$\times$S factorization formula at the level of the generating function for correlators with arbitrary Kaluza-Klein configurations, and implement it in the supergravity limit of $\mathcal{N}=4$ super Yang-Mills. By…

High Energy Physics - Theory · Physics 2025-10-10 Bruno Fernandes , Vasco Goncalves , Zhongjie Huang , Yichao Tang , Joao Vilas Boas , Ellis Ye Yuan

We study graviton scattering on $AdS_4\times S^7$, which is dual to the stress tensor multiplet four-point function in the maximally supersymmetric 3d $U(N)_1\times U(N)_{-1}$ ABJM theory. We compute 1-loop corrections to this holographic…

High Energy Physics - Theory · Physics 2022-11-30 Luis F. Alday , Shai M. Chester , Himanshu Raj

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