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Related papers: Four point function of $\mathcal{N}=4$ stress-tens…

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We derive the explicit expression for the four-point correlation function of stress-energy tensors in four-dimensional N=4 superconformal theory. We show that it has a remarkably simple and suggestive form allowing us to predict a large…

High Energy Physics - Theory · Physics 2016-01-27 G. P. Korchemsky , E. Sokatchev

We present a construction of the integrand of the correlation function of four stress-tensor multiplets in N=4 SYM at weak coupling. It does not rely on Feynman diagrams and makes use of the recently discovered symmetry of the integrand…

High Energy Physics - Theory · Physics 2015-06-03 Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We consider the four-point function of operators in the stress tensor multiplet of the $U(N)_k\times U(N)_{-k}$ ABJM theory, in the limit where $N$ is taken to infinity while $N/k^{5}$ is held fixed. In this limit, ABJM theory is…

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

We study the four-point correlation function of stress-tensor supermultiplets in N=4 SYM using the method of Lagrangian insertions. We argue that, as a corollary of N=4 superconformal symmetry, the resulting all-loop integrand possesses an…

High Energy Physics - Theory · Physics 2015-05-30 Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev

We study the stress tensor multiplet four-point function in the 6d maximally supersymmetric $(2,0)$ $A_{N-1}$ and $D_N$ theories, which have no Lagrangian description, but in the large $N$ limit are holographically dual to weakly coupled…

High Energy Physics - Theory · Physics 2021-07-26 Luis F. Alday , Shai M. Chester , Himanshu Raj

We study the two-point function of the stress-tensor multiplet of $\mathcal{N}=4$ SYM in the presence of a line defect. To be more precise, we focus on the single-trace operator of conformal dimension two that sits in the $20'$ irrep of the…

High Energy Physics - Theory · Physics 2023-01-11 Julien Barrat , Pedro Liendo , Jan Plefka

We use hexagonalization to compute four-point correlation functions of long BPS operators with special R-charge polarizations. We perform the computation at weak coupling and show that at any loop order our correlators can be expressed in…

High Energy Physics - Theory · Physics 2019-01-30 Frank Coronado

We compute four point functions of the stress tensor and conserved currents in AdS_4/CFT_3 using bulk perturbation theory. We work at treel level in the bulk theory, which we take to be either pure gravity or Yang Mills theory in AdS. We…

High Energy Physics - Theory · Physics 2013-05-30 Suvrat Raju

A non-trivial consequence of the super-correlator/super-amplitude duality is that the integrand of the four-point correlation function of stress-tensor multiplets in planar N=4 super Yang-Mills contains a certain combination of n-point…

High Energy Physics - Theory · Physics 2018-08-01 Paul Heslop , Vuong-Viet Tran

We present a compact formula, expressed in terms of classical polylogarithms up to weight three, for the leading order four-point energy correlator in maximally supersymmetric Yang-Mills theory, in the limit where the four detectors are…

High Energy Physics - Theory · Physics 2024-01-15 Dmitry Chicherin , Ian Moult , Emery Sokatchev , Kai Yan , Yunyue Zhu

We study four-point correlation functions of the stress-tensor multiplet in $\mathcal{N} = 4$ super Yang-Mills (sYM) theory by leveraging integrability and localization techniques. We combine dispersive sum rules and spectral information…

High Energy Physics - Theory · Physics 2024-12-03 Simon Caron-Huot , Frank Coronado , Zahra Zahraee

We consider the four-point correlator of the stress tensor multiplet in N=4 SYM. We construct all solutions consistent with crossing symmetry in the limit of large central charge c ~ N^2 and large g^2 N. While we find an infinite tower of…

High Energy Physics - Theory · Physics 2015-06-22 Luis F. Alday , Agnese Bissi , Tomasz Lukowski

Using integrability techniques, we compute four-point functions of single trace gauge-invariant operators in N=4 SYM to leading order at weak coupling. Our results are valid for operators of arbitrary size. In particular, we study the limit…

High Energy Physics - Theory · Physics 2011-10-11 Joao Caetano , Jorge Escobedo

We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators $O^{I} \sim \tr \phi^{(i}\phi^{j)}$ in $\N =4$ SYM$_4$ at strong coupling and show that their structure is compatible with the predictions…

High Energy Physics - Theory · Physics 2009-10-31 G. Arutyunov , S. Frolov , A. C. Petkou

We consider a double OPE limit of the planar four-point function of stress tensor multiplets in N = 4 SYM theory. Loop integrands for this correlator have been constructed to very high order, but the corresponding integrals are explicitly…

High Energy Physics - Theory · Physics 2016-08-16 Burkhard Eden , Felix Paul

We show that, although the correlator of four stress-tensor multiplets in N=4 SYM is known to have radiative corrections, certain linear combinations of its components are protected from perturbative renormalisation and remain at their…

High Energy Physics - Theory · Physics 2009-10-31 Burkhard Eden , Anastasios Petkou , Christian Schubert , Emery Sokatchev

We give a new method for computing the correlation functions of the chiral part of the stress-tensor supermultiplet that relies on the reformulation of N=4 SYM in twistor space. It yields the correlation functions in the Born approximation…

High Energy Physics - Theory · Physics 2015-04-15 D. Chicherin , R. Doobary , B. Eden , P. Heslop , G. P. Korchemsky , L. Mason , E. Sokatchev

We compute three-point functions of single trace operators in planar N=4 SYM. We consider the limit where one of the operators is much smaller than the other two. We find a precise match between weak and strong coupling in the…

High Energy Physics - Theory · Physics 2015-05-28 Jorge Escobedo , Nikolay Gromov , Amit Sever , Pedro Vieira

We study the conformal bootstrap for 4-point functions of stress tensors in parity-preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of conformal symmetry, permutation symmetry, and conservation on the…

High Energy Physics - Theory · Physics 2018-04-04 Anatoly Dymarsky , Filip Kos , Petr Kravchuk , David Poland , David Simmons-Duffin

We consider the four-point correlator of the stress-energy tensor multiplet in ${\cal N}=4$ SYM. In the planar limit and at large 't Hooft coupling such correlator is given by the corresponding holographic correlation function in IIB…

High Energy Physics - Theory · Physics 2017-11-01 Luis F. Alday , Agnese Bissi
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