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Related papers: The Konishi multiplet at strong coupling

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Within the framework of QCD we compute renormalization constants for the strong coupling and the quark masses to four-loop order. We apply the DR-bar scheme and put special emphasis on the additional couplings which have to be taken into…

High Energy Physics - Phenomenology · Physics 2009-11-11 R. V. Harlander , D. R. T. Jones , P. Kant , L. Mihaila , M. Steinhauser

We construct a long-range Baxter equation encoding anomalous dimensions of composite operators in the SL(2|1) sector of N = 4 supersymmetric Yang-Mills theory. The formalism is based on the analytical Bethe Ansatz. We compare predictions of…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky

We compute supersymmetric indices which count local operators at certain half-BPS interfaces and quarter-BPS junctions of interfaces in four-dimensional $\mathcal{N}=4$ Super Yang-Mills theory. We use the indices as very stringent tests of…

High Energy Physics - Theory · Physics 2019-11-19 Davide Gaiotto , Tadashi Okazaki

Form factors of the stress-tensor multiplet operator in $\mathcal{N}=4$ supersymmetric Yang-Mills reveal surprisingly simple structures similar to those appearing in scattering amplitudes. In this paper we show that, as for the case of…

High Energy Physics - Theory · Physics 2019-11-13 Lorenzo Bianchi , Andreas Brandhuber , Rodolfo Panerai , Gabriele Travaglini

The cross or soft anomalous dimension matrix describes the renormalization of Wilson loops with a self-intersection and is an important object in the study of infrared divergences of scattering amplitudes. In this paper it is studied for…

High Energy Physics - Theory · Physics 2020-03-12 Hagen Münkler

We present a conjecture for the small spin limit of the minimal scaling dimension of Wilson operators in the sl(2) sector of the planar N=4 Super-Yang-Mills theory. The expression is given in closed form as a function of the 't Hooft…

High Energy Physics - Theory · Physics 2011-09-23 B. Basso

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 compute the general form of the six-loop anomalous dimension of twist-two operators with arbitrary spin in planar N=4 SYM theory. First we find the contribution from the asymptotic Bethe ansatz. Then we reconstruct the wrapping terms…

High Energy Physics - Theory · Physics 2015-06-09 Christian Marboe , Vitaly Velizhanin , Dmytro Volin

We consider noncommutative {\cal N}=4 supersymmetric U(N) Yang-Mills theory. Using the {\cal N}=1 superfield formalism and the background field method we compute one-loop four point contributions to the effective action and compare the…

High Energy Physics - Theory · Physics 2009-10-31 Daniela Zanon

We present results for the planar contribution to the four-loop anomalous dimension for a general N=2 supersymmetric Chern-Simons theory in three dimensions. These results should facilitate higher-order superconformality checks for theories…

High Energy Physics - Theory · Physics 2013-04-12 I. Jack , C. Luckhurst

Using the FiNLIE solution of the AdS/CFT Y-system, we compute the anomalous dimension of the Konishi operator in planar N=4 SYM up to eight loops, i.e. up to the leading double wrapping order. At this order a non reducible Euler-Zagier sum,…

High Energy Physics - Theory · Physics 2014-04-17 Sébastien Leurent , Dmytro Volin

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 investigate the one-loop spectral problem of $\gamma$-twisted, planar $\mathcal{N}$=4 Super Yang-Mills theory in the double-scaling limit of infinite, imaginary twist angle and vanishing Yang-Mills coupling constant. This non-unitary…

High Energy Physics - Theory · Physics 2019-05-01 Asger C. Ipsen , Matthias Staudacher , Leonard Zippelius

We derive an analytic formula at three loops for the cusp anomalous dimension Gamma_cusp(phi) in N=4 super Yang-Mills. This is done by exploiting the relation of the latter to the Regge limit of massive amplitudes. We comment on the…

High Energy Physics - Theory · Physics 2015-06-04 Diego Correa , Johannes Henn , Juan Maldacena , Amit Sever

We study anomalous dimensions of unprotected low twist operators in the four-dimensional $SU(N)$ $\mathcal{N}=4$ supersymmetric Yang-Mills theory. We construct a class of interpolating functions to approximate the dimensions of the leading…

High Energy Physics - Theory · Physics 2017-05-24 Abhishek Chowdhury , Masazumi Honda , Somyadip Thakur

We consider $U(N)$ $\mathcal N=4$ super Yang-Mills theory and discuss how to extract the strong coupling limit of non-planar corrections to observables involving the $\frac{1}{2}$-BPS Wilson loop. Our approach is based on a suitable saddle…

High Energy Physics - Theory · Physics 2021-05-12 Matteo Beccaria , Azeem Hasan

We investigate finite-size corrections to anomalous dimensions of large-spin twist-two operators in the planar maximally supersymmetric Yang-Mills theory. We develop a framework for analysis of these corrections, that is complementary to…

High Energy Physics - Theory · Physics 2015-05-30 B. Basso , A. V. Belitsky

In this article we compute the anomalous dimensions for a class of operators, belonging to the SU(3) sector of the theory, that have a bare dimension of order N. For these operators the large N limit and the planar limit are distinct and…

High Energy Physics - Theory · Physics 2015-06-18 Robert de Mello Koch , Stuart Graham , Wandile Mabanga

We study structure constants of gauge invariant operators in planar N=4 Yang-Mills at one loop with the motivation of determining features of the string dual of weak coupling Yang-Mills. We derive a simple renormalization group invariant…

High Energy Physics - Theory · Physics 2010-02-03 Luis F. Alday , Justin R. David , Edi Gava , K. S. Narain

We discuss several aspects of superconformal field theories in four dimensions (CFT_4), in the context of electric-magnetic duality. We analyse the behaviour of anomalous currents under RG flow to a conformal fixed point in N=1, D=4…

High Energy Physics - Theory · Physics 2009-10-30 D. Anselmi , M. Grisaru , A. Johansen