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We consider the strong coupling limit of 4-point functions of heavy operators in N=4 SYM dual to strings with no spin in AdS. We restrict our discussion for operators inserted on a line. The string computation factorizes into a…

High Energy Physics - Theory · Physics 2012-09-25 J. Caetano , J. Toledo

Using the recent results in the pure spinor formulation, we lay out a ground-work towards the full momentum space amplitudes of open superstrings at three-loop. After briefly reviewing the one-loop amplitude, we directly work out the…

High Energy Physics - Theory · Physics 2010-09-28 I. Y. Park

We propose an approach to compute one-loop corrections to the four-point amplitude in the higher spin gravities that are holographically dual to free $O(N)$, $U(N)$ and $USp(N)$ vector models. We compute the double-particle cut of one-loop…

High Energy Physics - Theory · Physics 2020-01-29 Dmitry Ponomarev , Ergin Sezgin , Evgeny Skvortsov

In this work we study the $6j$ symbol of the $3d$ conformal group for fermionic operators. In particular, we study 4-point functions containing two fermions and two scalars and also those with four fermions. By using weight-shifting…

High Energy Physics - Theory · Physics 2020-09-28 Soner Albayrak , David Meltzer , David Poland

In this paper, we continue our study of form factors and correlation functions of gauge-invariant local composite operators in the twistor-space formulation of N=4 super Yang-Mills theory. Using the vertices for these operators obtained in…

High Energy Physics - Theory · Physics 2017-05-23 Laura Koster , Vladimir Mitev , Matthias Staudacher , Matthias Wilhelm

We calculate the two-loop soft function for $pp \to jj$, $e^+e^- \to 4j$ or $e p \to 3j$ when the $N$-jettiness observable is measured. The result presented here makes up the necessary piece for realizing the full next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2019-06-26 Shan Jin , Xiaohui Liu

We investigate the correlators of three single-trace operators in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory from the perspective of integrable boundary states. Specifically, we focus on scenarios where two operators being $1/3$-BPS…

High Energy Physics - Theory · Physics 2025-02-25 Jun-Bao Wu , Peihe Yang

We consider an exremal three-point correlator of three heavy vertex operators for the circular winding string state with one large spin and one windining number in AdS5 and one large spin and one winding number in S5. We use a…

High Energy Physics - Theory · Physics 2015-06-04 Shijong Ryang

We study the large N degeneracy in the structure of the four-point amplitudes of 1/2-BPS operators of arbitrary weight k in perturbative N=4 SYM theory. At one loop (order g^2) this degeneracy manifests itself in a smaller number of…

High Energy Physics - Theory · Physics 2015-06-26 G. Arutyunov , S. Penati , A. Santambrogio , E. Sokatchev

The properties of gauge-invariant composite operators and their correlation functions in N=4 SYM are discussed in the analytic superspace formalism. A complete classification of the different types of operators in the theory is given.…

High Energy Physics - Theory · Physics 2009-11-10 P. J. Heslop , P. S. Howe

We study two-point functions of single-trace half-BPS operators in the presence of a supersymmetric Wilson line in $\mathcal{N}=4$ SYM. We use inversion formula technology in order to reconstruct the CFT data starting from a single…

High Energy Physics - Theory · Physics 2022-09-30 Julien Barrat , Aleix Gimenez-Grau , Pedro Liendo

Certain two and three point functions of gauge invariant primary operators of ${\cal N}=4$ SYM are computed in ${\cal N}=1$ superspace keeping all the $\th$-components. This allows one to read off many component descendent correlators. Our…

High Energy Physics - Theory · Physics 2009-10-31 F. Gonzalez-Rey , B. Kulik , I. Y. Park

We introduce a nonperturbative approach to correlation functions of two determinant operators and one non-protected single-trace operator in planar N=4 supersymmetric Yang-Mills theory. Based on the gauge/string duality, we propose that…

High Energy Physics - Theory · Physics 2019-11-13 Yunfeng Jiang , Shota Komatsu , Edoardo Vescovi

We revisit the calculation of instanton effects in correlation functions in ${\cal N}=4$ SYM involving the Konishi operator and operators of twist two. Previous studies revealed that the scaling dimensions and the OPE coefficients of these…

High Energy Physics - Theory · Physics 2016-12-21 Luis F. Alday , Gregory P. Korchemsky

We study heavy-light four-point function by employing Lorentzian inversion formula, where the conformal dimension of heavy operator is as large as central charge $C_T\rightarrow\infty$. We implement the Lorentzian inversion formula back and…

High Energy Physics - Theory · Physics 2020-08-26 Yue-Zhou Li

We construct generating functions of five- and six-point correlators up to two loops at weak 't Hooft coupling in planar N=4 SYM. These generating functions unify the correlators of the lightest scalar operator in the stress-tensor…

High Energy Physics - Theory · Physics 2026-04-01 Till Bargheer , Albert Bekov , Carlos Bercini , Frank Coronado

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 analyse the 3-point CFT correlators involving non-conserved spinning operators in momentum space. We derive a general expression for the conformal Ward identities defining the 3-point functions involving two generic spin $s$…

High Energy Physics - Theory · Physics 2023-04-12 Raffaele Marotta , Kostas Skenderis , Mritunjay Verma

We demonstrate by explicit multi-loop calculation that \gamma-deformed planar N=4 SYM, supplemented with a set of double-trace counter-terms, has two nontrivial fixed points in the recently proposed double scaling limit, combining vanishing…

High Energy Physics - Theory · Physics 2018-03-21 David Grabner , Nikolay Gromov , Vladimir Kazakov , Gregory Korchemsky

We consider correlation functions in symmetric product orbifold CFTs on the sphere, focusing on the case where all operators are single-cycle twists, and the covering surface is also a sphere. We directly construct the general class of…

High Energy Physics - Theory · Physics 2025-07-18 Benjamin A. Burrington , Ida G. Zadeh