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We present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. Our result confirms the results obtained from superfield…

High Energy Physics - Theory · Physics 2009-12-10 V. N. Velizhanin

We introduce a method to compute from first principles the anomalous dimension of short operators in N=4 super Yang-Mills theory at strong coupling, where they are described in terms of superstring vertex operators in an anti-de Sitter…

High Energy Physics - Theory · Physics 2015-05-27 Brenno Carlini Vallilo , Luca Mazzucato

We present a calculation of the four-loop anomalous dimension of the SU(2) sector Konishi operator in N=4 SYM, as an example of "wrapping" corrections to the known result for long operators. We use the known dilatation operator at four…

High Energy Physics - Theory · Physics 2008-01-11 Cynthia A. Keeler , Nelia Mann

We compute the complete non-planar integrand for the correlation function of four lightest scalar operators in N=4 super Yang-Mills theory at five-loop order. This is equivalent to the super-correlator of nine stress-tensor multiplets in…

High Energy Physics - Theory · Physics 2025-12-11 Till Bargheer , Albert Bekov

The supersymmetry transformation relating the Konishi operator to its lowest descendant in the 10 of SU(4) is not manifest in the N=1 formulation of the theory but rather uses an equation of motion. On the classical level one finds one…

High Energy Physics - Theory · Physics 2011-03-28 B. Eden

Several perturbative computations of finite-size effects, performed on the gauge side of the AdS/CFT correspondence by means of superspace techniques, are presented. First, wrapping effects are analyzed in the standard N = 4 theory, by…

High Energy Physics - Theory · Physics 2015-05-18 Francesco Fiamberti

We present the first results on the third order corrections to on-shell form factor (FF) of the Konishi operator in ${\cal N}=4$ supersymmetric Yang-Mills theory using Feynman diagrammatic approach in modified dimensional reduction…

High Energy Physics - Theory · Physics 2017-05-03 Taushif Ahmed , Pulak Banerjee , Prasanna K. Dhani , Narayan Rana , V. Ravindran , Satyajit Seth

In this paper we give all the details of the calculation that we presented in our previous paper arXiv:0712.3522, concerning the four-loop anomalous dimension of the Konishi descendant tr(\phi Z\phi Z-\phi \phi Z Z) in the SU(2) sector of…

High Energy Physics - Theory · Physics 2008-11-26 F. Fiamberti , A. Santambrogio , C. Sieg , D. Zanon

This review is devoted to collecting some results on the high spin expansion of (minimal) anomalous dimension. Thanks to the recent rationale on integrability, planar ${\cal N}=4$ super Yang-Mills theory (or its…

High Energy Physics - Theory · Physics 2011-01-05 Davide Fioravanti , Marco Rossi

We present a new method for computing the Konishi anomalous dimension in N=4 SYM at weak coupling. It does not rely on the conventional Feynman diagram technique and is not restricted to the planar limit. It is based on the OPE analysis of…

High Energy Physics - Theory · Physics 2015-06-04 Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Vladimir A. Smirnov , Emery 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 review the spin bit model describing anomalous dimensions of the operators of Super Yang--Mills theory. We concentrate here on the scalar sector. In the limit of large $N$ this model coincides with integrable spin chain while at finite N…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci , P. Y. Casteill , J. F. Morales , C. Sochichiu

We propose that certain twists of the su(2|2) S-matrix elements describe the beta-deformation of N=4 supersymmetric Yang-Mills theory. We compute the perturbative four-loop anomalous dimension of the Konishi operator of the deformed gauge…

High Energy Physics - Theory · Physics 2014-11-21 Changrim Ahn , Zoltan Bajnok , Diego Bombardelli , Rafael I. Nepomechie

We present the result of a full direct component calculation for the non-planar contribution to the four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. The result contains only zeta(5) term and is…

High Energy Physics - Theory · Physics 2009-12-10 V. N. Velizhanin

Maximally supersymmetric Yang--Mills theory (N=4 SYM) is conformal for any value of the coupling. Lattice regularization breaks conformality through the introduction of a non-zero lattice spacing and a finite lattice volume. This…

High Energy Physics - Lattice · Physics 2023-04-11 David Schaich

We compute the anomalous dimension of a length-five operator at five-loop order in the SU(2) sector of N=4 SYM theory in the planar limit. This is critical wrapping order at five loops. The result is obtained perturbatively by means of N=1…

High Energy Physics - Theory · Physics 2015-05-13 Francesco Fiamberti , Alberto Santambrogio , Christoph Sieg

In the present paper we derive six and seven loop formulas for the anomalous dimension of the Konishi operator in N=4 SYM from string theory using the technique of Luscher corrections. We derive analytically the integrand using the…

High Energy Physics - Theory · Physics 2015-06-11 Zoltan Bajnok , Romuald A. Janik

The relation between the dilatation operator of N=4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the…

High Energy Physics - Theory · Physics 2010-02-03 Radu Roiban , Anastasia Volovich

The large N limit of the anomalous dimensions of operators in ${\cal N}=4$ super Yang-Mills theory described by restricted Schur polynomials, are studied. We focus on operators labeled by Young diagrams that have two columns (both long) so…

High Energy Physics - Theory · Physics 2011-02-16 Vincent De Comarmond , Robert de Mello Koch , Katherine Jefferies

We derive the perturbative five loop anomalous dimension of the Konishi operator in N = 4 SYM theory from the integrable string sigma model by evaluating finite size effects using Luscher formulas adapted to multimagnon states at weak…

High Energy Physics - Theory · Physics 2009-12-15 Zoltan Bajnok , Arpad Hegedus , Romuald A. Janik , Tomasz Lukowski
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