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We compute a variety of operator-operator correlation functions to third order in the MSbar scheme in the chiral limit. These include combinations of quark bilinear currents with gauge invariant operators such as moments n = 2 and 3 of the…

High Energy Physics - Phenomenology · Physics 2010-01-15 J. A. Gracey

A particular analytic continuation of classical string solutions having a single AdS_5 spin is considered. These solutions describe strings tunnelling from the boundary to the boundary of AdS_5. We use the Legendre transform of the…

High Energy Physics - Theory · Physics 2015-09-22 George Georgiou

We present two new families of Wilson loop operators in N= 6 supersymmetric Chern-Simons theory. The first one is defined for an arbitrary contour on the three dimensional space and it resembles the Zarembo's construction in N=4 SYM. The…

High Energy Physics - Theory · Physics 2015-06-11 V. Cardinali , L. Griguolo , G. Martelloni , D. Seminara

We compute at strong coupling the large N correlation functions of supersymmetric Wilson loops in large representations of the gauge group with local operators of N=4 super Yang-Mills. The gauge theory computation of these correlators is…

High Energy Physics - Theory · Physics 2009-04-29 Jaume Gomis , Shunji Matsuura , Takuya Okuda , Diego Trancanelli

In this paper we consider a special kind of three-point functions of HHL type at weak coupling in N=4 SYM theory and analyze its volume dependence. At strong coupling this kind of three-point functions were studied recently by Bajnok, Janik…

High Energy Physics - Theory · Physics 2015-10-28 Laszlo Hollo , Yunfeng Jiang , Andrei Petrovskii

Wilson loop expectations at weak coupling are computed to first order, for four dimensional lattice gauge theories with finite gauge groups which satisfy some mild additional conditions. This continues recent work of Chatterjee, which…

Probability · Mathematics 2020-12-02 Sky Cao

We compute the correlation function of three twist-2 operators in N = 4 SYM in the leading BFKL approximation at any N_c. In this limit, the result is applicable to other gauge theories, including QCD.

High Energy Physics - Theory · Physics 2016-03-23 Ian Balitsky , Vladimir Kazakov , Evgeny Sobko

Efficient and powerful approaches to the computation of correlation functions involving determinant, sub-determinant and permanent operators, as well as traces, have recently been developed in the setting of ${\cal N}=4$ super Yang-Mills…

High Energy Physics - Theory · Physics 2019-10-30 Gaoli Chen , Robert de Mello Koch , Minkyoo Kim , Hendrik J. R. Van Zyl

We analyze the one-loop correction to the three-point function coefficient of scalar primary operators in N=4 SYM theory. By applying constraints from the superconformal symmetry, we demonstrate that the type of Feynman diagrams that…

High Energy Physics - Theory · Physics 2010-02-03 Kazumi Okuyama , Li-Sheng Tseng

We study supersymmetric Wilson loops in $d=3$, $\mathcal{N}=3$ harmonic superspace, leading to a construction of a supersymmetrized generalization of the $\frac{1}{3}$-BPS Wilson loop for $\mathcal{N}=3$ gauge theories. This also includes a…

High Energy Physics - Theory · Physics 2018-06-27 Yu-tin Huang , Dharmesh Jain

The matrix models which are conjectured to compute the circle Wilson loop and its correlator with chiral primary operators are mapped onto normal matrix models. A fermion droplet picture analogous to the well-known one for chiral primary…

High Energy Physics - Theory · Physics 2009-11-11 Kazumi Okuyama , Gordon W. Semenoff

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

This paper has two parts. We first compute the leading contribution to the strong-coupling mixing between the Konishi operator and a double-trace operator composed of chiral primaries by using flat-space vertex operators for the…

High Energy Physics - Theory · Physics 2016-01-21 Joseph A. Minahan , Raul Pereira

We propose a mechanism for calculating anomalous dimensions of higher-spin twist-two operators in N=4 SYM. We consider the ratio of the two-point functions of the operators and of their superconformal descendants or, alternatively, of the…

High Energy Physics - Theory · Physics 2009-11-11 J. Henn , C. Jarczak , E. Sokatchev

We evaluate the Green's function for the insertion of the second moment of the twist-$2$ flavour nonsinglet Wilson operator in a quark $2$-point function in all three different single scale external momentum configurations at four loops in…

High Energy Physics - Phenomenology · Physics 2025-01-10 J. A. Gracey

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 multipoint correlators of protected scalars on the Maldacena-Wilson line in $\mathcal{N}=4$ SYM. Working at weak coupling in the planar limit, we derive an explicit recursion relation that captures next-to-leading order correlators…

High Energy Physics - Theory · Physics 2023-01-24 Julien Barrat , Pedro Liendo , Giulia Peveri , Jan Plefka

Adapting a method recently proposed by C. Marboe and D. Volin for ${\cal N}$=4 super-Yang-Mills, we develop an algorithm for a systematic weak coupling expansion of the spectrum of anomalous dimensions in the $sl(2)$-like sector of planar…

High Energy Physics - Theory · Physics 2015-11-18 Lorenzo Anselmetti , Diego Bombardelli , Andrea Cavaglià , Roberto Tateo

Recently, Kapustin, Willett and Yaakov have found, by using localization techniques, that vacuum expectation values of Wilson loops in ABJM theory can be calculated with a matrix model. We show that this matrix model is closely related to…

High Energy Physics - Theory · Physics 2014-11-20 Marcos Marino , Pavel Putrov

We study the 3-point functions of single-trace scalar operators in a four-dimensional $\mathcal{N}=2$ SYM theory with gauge group $\mathrm{SU}(N)$ and matter in the symmetric plus anti-symmetric representation, which has a vanishing…

High Energy Physics - Theory · Physics 2022-09-07 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino