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In this work, we compute one-loop planar five-point functions in $\mathcal{N}$=4 super-Yang-Mills using integrability. As in the previous work, we decompose the correlation functions into hexagon form factors and glue them using the weight…

High Energy Physics - Theory · Physics 2018-04-04 Thiago Fleury , Shota Komatsu

Using the duality between color and kinematics, we construct two-loop four-point scattering amplitudes in $\mathcal{N}=2$ super-Yang-Mills (SYM) theory coupled to $N_f$ fundamental hypermultiplets. Our results are valid in $D\le 6$…

High Energy Physics - Theory · Physics 2017-09-20 Henrik Johansson , Gregor Kälin , Gustav Mogull

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with a general classical gauge group…

High Energy Physics - Theory · Physics 2023-05-10 Daniele Dorigoni , Michael B. Green , Congkao Wen , Haitian Xie

We study particular integrated correlation functions of two superconformal primary operators of the stress tensor multiplet in the presence of a half-BPS line defect labelled by electromagnetic charges $(p,q)$ in $\mathcal{N}=4$…

High Energy Physics - Theory · Physics 2024-09-20 Daniele Dorigoni , Zhihao Duan , Daniele R. Pavarini , Congkao Wen , Haitian Xie

In this article, the free field theory limit of operators dual to giant gravitons with open strings attached are studied. We introduce a graphical notation, which employs Young diagrams, for these operators. The computation of two point…

High Energy Physics - Theory · Physics 2010-10-27 Robert de Mello Koch , Jelena Smolic , Milena Smolic

We develop a compact representation of the one-loop n-point functions of all chiral primary operators in planar SU(N), N=4 super Yang-Mills theory in terms of tree-level disk correlation functions and the scalar one-loop box integral. As a…

High Energy Physics - Theory · Physics 2011-06-24 Nadav Drukker , Jan Plefka

The super Yang-Mills duals of open strings attached to maximal giant gravitons are studied in perturbation theory. It is shown that non-BPS baryonic excitations of the gauge theory can be studied within the paradigm of open quantum spin…

High Energy Physics - Theory · Physics 2009-11-11 Abhishek Agarwal

We present a conjecture for the normalisation of the twist two conformal partial waves in a double OPE limit of the four-point function of stress tensor multiplets in N = 4 super Yang-Mills theory up to three loops. This contains…

High Energy Physics - Theory · Physics 2012-07-18 Burkhard Eden

We study the large charge sector of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Specifically, we consider correlation functions of two large charge insertions and several…

High Energy Physics - Theory · Physics 2022-04-07 Simone Giombi , Shota Komatsu , Bendeguz Offertaler

For the general renormalizable N=1 supersymmetric Yang--Mills theory, regularized by higher covariant derivatives, a two-loop beta-function is calculated. It is shown that all integrals, needed for obtaining this function, can be easily…

High Energy Physics - Theory · Physics 2014-11-20 A. B. Pimenov , E. S. Shevtsova , K. V. Stepanyantz

Working within the AdS/CFT correspondence we calculate the three-point function of two giant gravitons and one pointlike graviton using methods of semiclassical string theory and considering both the case where the giant gravitons wrap an…

High Energy Physics - Theory · Physics 2011-06-28 Agnese Bissi , Charlotte Kristjansen , Donovan Young , Konstantinos Zoubos

We analyse the double-discontinuities of the four-point correlator of the stress-tensor multiplet in N=4 SYM at large t' Hooft coupling and at order $1/N^4$, as a way to access one-loop effects in the dual supergravity theory. From these…

High Energy Physics - Theory · Physics 2018-12-26 Luis F. Alday , Simon Caron-Huot

We report a result for the third-order correction in $1/N$ expansion to the four-point correlator of the stress tensor multiplet in $\mathcal{N}=4$ super Yang--Mills theory at large 't Hooft coupling, which corresponds to the two-loop…

High Energy Physics - Theory · Physics 2023-03-01 Zhongjie Huang , Ellis Ye Yuan

We compute the integrands of five-, six-, and seven-point correlation functions of twenty-prime operators with general polarizations at the two-loop order in N=4 super Yang-Mills theory. In addition, we compute the integrand of the…

High Energy Physics - Theory · Physics 2023-08-02 Till Bargheer , Thiago Fleury , Vasco Gonçalves

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

We consider the general ${\cal N}=1$ supersymmetric gauge theory with matter, regularized by higher covariant derivatives without breaking the BRST invariance, in the massless limit. In the $\xi$-gauge we obtain the (unrenormalized)…

High Energy Physics - Theory · Physics 2017-11-13 A. E. Kazantsev , M. B. Skoptsov , K. V. Stepanyantz

Correlation functions of operators with a conformal dimension of O(N^2) are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge…

High Energy Physics - Theory · Physics 2009-09-28 Robert de Mello Koch , Tanay K. Dey , Norman Ives , Michael Stephanou

Four-point functions of gauge-invariant operators in D=4, N=4 supersymmetric Yang-Mills theory are studied using N=2 harmonic superspace perturbation theory. The results are expressed in terms of differential operators acting on a scalar…

High Energy Physics - Theory · Physics 2009-10-31 B. Eden , P. S. Howe , C. Schubert , E. Sokatchev , P. C. West

We continue our study of large charge limits of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. In this paper, we compute $1/J$ corrections to the correlation function of two…

High Energy Physics - Theory · Physics 2022-08-24 Simone Giombi , Shota Komatsu , Bendeguz Offertaler

In the AdS_5/CFT_4 set-up, extremal three-point functions involving two giant 1/2 BPS gravitons and one point-like 1/2 BPS graviton, when calculated using semi-classical string theory methods, match the corresponding three-point functions…

High Energy Physics - Theory · Physics 2015-10-28 Charlotte Kristjansen , Stefano Mori , Donovan Young