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We consider the problem of resumming the perturbative expansions for anomalous dimensions of low twist, non-BPS operators in four dimensional N=4 supersymmetric Yang-Mills theories. The requirement of S-duality invariance imposes…

High Energy Physics - Theory · Physics 2022-08-22 Christopher Beem , Leonardo Rastelli , Ashoke Sen , Balt C. van Rees

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

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading…

High Energy Physics - Theory · Physics 2008-11-26 B. Basso , G. P. Korchemsky

In this work we study the cusp anomalous dimension of the marginally deformed N=4 sYM theory. We find the expression of the cusp anomalous dimension both at the weak and strong coupling limits. On the gravity side we partially map the…

High Energy Physics - Theory · Physics 2013-12-03 George Georgiou , Dimitrios Giataganas

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. This term is still governed by a linear integral equation which we…

High Energy Physics - Theory · Physics 2011-07-26 Davide Fioravanti , Paolo Grinza , Marco Rossi

Anomalous dimensions of high-twist Wilson operators in generic gauge theories occupy a band of width growing logarithmically with their conformal spin. We perform a systematic study of its fine structure in the autonomous SL(2) subsector of…

High Energy Physics - Phenomenology · Physics 2008-12-18 A. V. Belitsky , G. P. Korchemsky , R. S. Pasechnik

We study the spectrum of anomalous dimensions of operators dual to giant graviton branes. The operators considered belong to the su$(2|3)$ sector of ${\cal N}=4$ super Yang-Mills theory, have a bare dimension $\sim N$ and are a linear…

High Energy Physics - Theory · Physics 2020-12-02 Robert de Mello Koch , Jia-Hui Huang , Minkyoo Kim , Hendrik J. R. Van Zyl

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 demonstrate that the one-loop anomalous dimension matrix in N = 2 SYM with a single chiral hypermultiplet of fundamental matter, which is dual to AdS_5 X S^5 with a D7-brane filling AdS_5 and wrapped around an $^3 in the S^5, is an…

High Energy Physics - Theory · Physics 2009-11-11 Theodore G. Erler , Nelia Mann

We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. The anomalous dimensions computed in the gauge theory are in complete quantitative agreement with…

High Energy Physics - Theory · Physics 2016-04-20 Robert de Mello Koch , Nirina Hasina Tahiridimbisoa , Christopher Mathwin

We review the computation of the anomalous dimension of twist operators in the planar limit of N=4 SYM using the asymptotic Bethe ansatz and demonstrate how this quantity is obtained at weak, strong and intermediate values of the coupling…

High Energy Physics - Theory · Physics 2015-05-20 Lisa Freyhult

We determine the anomaly polynomial of the E-string theory and its higher-rank generalizations, that is, the 6d $\mathcal{N} =(1, 0)$ superconformal theories on the worldvolume of one or multiple M5-branes embedded within the…

High Energy Physics - Theory · Physics 2015-06-19 Kantaro Ohmori , Hiroyuki Shimizu , Yuji Tachikawa

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 consider the conformal dimension of an operator with large spin, using a spinning D3-brane with electric flux in AdS_5 x S^5 instead of spinning fundamental string. This spinning D3-brane solution seems to correspond to an operator made…

High Energy Physics - Theory · Physics 2009-11-18 Dongmin Gang , Jae-Sung Park , Satoshi Yamaguchi

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 present a formula for the five-loop anomalous dimension of N=4 SYM twist-three operators in the sl(2) sector. We obtain its asymptotic part from the Bethe Ansatz and finite volume corrections from the generalized Luescher formalism,…

High Energy Physics - Theory · Physics 2009-04-21 M. Beccaria , V. Forini , T. Lukowski , S. Zieme

We show agreements, at one-loop level of field theory, between energies of semiclassical string states on AdS_5 x S^5/Z_M and anomalous dimensions of operators in N=0,1,2 orbifold field theories originating from N=4 SYM. On field theory…

High Energy Physics - Theory · Physics 2008-11-26 Kota Ideguchi

We study maximal helicity three gaugino operators in N=4 Super Yang-Mills theory. We show that the lowest anomalous dimension of scaling operators with generic finite spin can be expressed in terms of the universal anomalous dimension…

High Energy Physics - Theory · Physics 2009-11-13 Matteo Beccaria

We apply recently developed integrable spin chain and dilatation operator techniques in order to compute the planar one-loop anomalous dimensions for certain operators containing a large number of scalar fields in N =4 Super Yang-Mills. The…

High Energy Physics - Theory · Physics 2011-03-23 N. Beisert , J. A. Minahan , M. Staudacher , K. Zarembo

We examine anomalous dimensions of higher spin currents in the critical O(N) scalar model and the Gross-Neveu model in arbitrary d dimensions. These two models are proposed to be dual to the type A and type B Vasiliev theories,…

High Energy Physics - Theory · Physics 2017-02-01 Yasuaki Hikida , Taiki Wada