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Related papers: The Konishi multiplet at strong coupling

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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 compute four-point correlation functions of scalar composite operators in the N=4 supercurrent multiplet at order g^4 using the N=1 superfield formalism. We confirm the interpretation of short-distance logarithmic behaviours in terms of…

High Energy Physics - Theory · Physics 2009-10-31 M. Bianchi , S. Kovacs , G. C. Rossi , Ya. S. Stanev

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 review some recent progress in understanding the spectrum of energies/dimensions of strings/operators in AdS5 x S5 -- planar N=4 super Yang-Mills correspondence. We consider leading strong coupling corrections to the energy of lightest…

High Energy Physics - Theory · Physics 2020-12-08 A. A. Tseytlin

We compute the three-loop anomalous dimension of the BMN operators with charges J=0 (the Konishi multiplet) and J=1 in N=4 super-Yang-Mills theory. We employ a method which effectively reduces the calculation to two loops. Instead of using…

High Energy Physics - Theory · Physics 2010-04-05 B. Eden , C. Jarczak , E. Sokatchev

We consider leading strong coupling corrections to the energy of the lightest massive string modes in AdS_5 x S^5, which should be dual to members of the Konishi operator multiplet in N=4 SYM theory. This determines the general structure of…

High Energy Physics - Theory · Physics 2011-10-18 R. Roiban , A. A. Tseytlin

In a {\cal N}=1 superspace setup and using dimensional regularization, we give a general and simple prescription to compute anomalous dimensions of composite operators in {\cal N}=4, SU(N) supersymmetric Yang-Mills theory, perturbatively in…

High Energy Physics - Theory · Physics 2009-11-07 Silvia Penati , Alberto Santambrogio

The Konishi superconformal multiplet is an important theoretical laboratory where one can test AdS/CFT methods to compute strong coupling corrections to the spectrum of superstrings in AdS_5 x S^5. In particular, one can exploit…

High Energy Physics - Theory · Physics 2015-05-30 Matteo Beccaria , Guido Macorini

We compute the two-point function of Konishi-like operators up to one-loop order, in N=4 supersymmetric Yang-Mills theory. We work perturbatively in N=1 superspace. We find the expression expected on the basis of superconformal invariance…

High Energy Physics - Theory · Physics 2008-11-26 Stefano Maghini , Alberto Santambrogio , Daniela Zanon

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

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

We construct an exact analytical solution to the integral equation which is believed to describe logarithmic growth of the anomalous dimensions of high spin operators in planar N=4 super Yang-Mills theory and use it to determine the strong…

High Energy Physics - Theory · Physics 2011-01-28 B. Basso , G. P. Korchemsky , J. Kotanski

We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector sites. We then use the Bethe ansatz to find…

High Energy Physics - Theory · Physics 2009-11-07 J. A. Minahan , K. Zarembo

We perform direct diagrammatic calculations of the anomalous dimensions of twist-two operators in extended N=2 and N=4 super Yang-Mills theories (SYM). In the case of N=4 SYM, we compute the four-loop anomalous dimension of the twist-two…

High Energy Physics - Theory · Physics 2024-03-08 B. A. Kniehl , V. N. Velizhanin

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

In this letter, we derive analytically the scaling dimension of the Konishi operator in planar N=4 gauge theory at strong coupling from the asymptotic Bethe equations. The first two leading terms agree with the recent string computation and…

High Energy Physics - Theory · Physics 2015-05-13 Adam Rej , Fabian Spill

Following our earlier work in arXiv:0906.4294 we show how to use semiclassical string quantization approach to compute the leading corrections to the energy of AdS_5 x S^5 string states on the first excited string level that should…

High Energy Physics - Theory · Physics 2011-10-18 R. Roiban , A. A. Tseytlin

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

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

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
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