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

High Energy Physics - Theory · Physics 2009-11-13 Zoltan Bajnok , Romuald A. Janik

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

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 compute the Konishi anomalous dimension perturbatively up to six loop using the finite set of functional equations derived recently by Gromov, Kazakov, Leurent and Volin. The recursive procedure can be in principle extended to higher…

High Energy Physics - Theory · Physics 2013-01-22 Sebastien Leurent , Didina Serban , Dmytro Volin

Anomalous dimension of the simplest nontrivial single impurity operator in the beta=1/2 deformed theory is determined at six loops from the AdS/CFT correspondence. L\"uscher correction is evaluated at next-to-next-to-leading order (NNLO) in…

High Energy Physics - Theory · Physics 2013-07-18 Zoltan Bajnok , Omar el Deeb

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 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 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 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

Using the algebraic curve approach we one-loop quantize the folded string solution for the type IIB superstring in AdS(5)xS(5). We obtain an explicit result valid for arbitrary values of its Lorentz spin S and R-charge J in terms of…

High Energy Physics - Theory · Physics 2011-09-12 Nikolay Gromov , Didina Serban , Igor Shenderovich , Dmytro Volin

The spin chain formulation of the operator spectrum of the N=4 super Yang-Mills theory is haunted by the problem of ``wrapping'', i.e. the inapplicability of the formalism for short spin chain length at high loop-order. The first instance…

High Energy Physics - Theory · Physics 2007-12-21 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

The anomalous dimension of twist-2 operators of arbitrary spin in planar N=4 SYM theory is found at seven loops by using the quantum spectral curve to compute values at fixed spin, and reconstructing the general result using the…

High Energy Physics - Theory · Physics 2016-11-23 Christian Marboe , Vitaly Velizhanin

Using the linearized TBA equations recently obtained in [arXiv:1002.1711] we show analytically that the 5-loop anomalous dimension of the Konishi operator agrees with the result obtained previously from the generalized Luscher formulae. The…

High Energy Physics - Theory · Physics 2014-11-20 Janos Balog , Arpad Hegedus

We study the first sub-leading correction $O((\ln s)^0)$ to the cusp anomalous dimension in the high spin expansion of finite twist operators in ${\cal N}=4$ SYM theory. Since this approximation is still governed by a linear integral…

High Energy Physics - Theory · Physics 2010-10-27 Davide Fioravanti , Paolo Grinza , Marco Rossi

We compare quantum corrections to semiclassical spinning strings in AdS(5)xS(5) to one-loop anomalous dimensions in N=4 supersymmetric gauge theory. The latter are computed using the reduced (Landau-Lifshitz) sigma model and with the help…

High Energy Physics - Theory · Physics 2008-11-26 N. Beisert , A. A. Tseytlin , K. Zarembo

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

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

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 study anomalous dimensions of (super)conformal Wilson operators at weak and strong coupling making use of the integrability symmetry on both sides of the gauge/string correspondence and elucidate the origin of their single-logarithmic…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky , A. S. Gorsky , G. P. Korchemsky
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