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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 study insertions of composite operators into Wilson loops in N=4 supersymmetric Yang-Mills theory in four dimensions. The loops follow a circular or straight path and the composite insertions transform in the adjoint representation of…

High Energy Physics - Theory · Physics 2009-11-11 Nadav Drukker , Shoichi Kawamoto

Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals, and apply it to the calculation of the…

High Energy Physics - Theory · Physics 2015-06-15 Johannes M. Henn , Tobias Huber

The scaling dimensions of large operators in N=4 supersymmetric Yang-Mills theory are dual to energies of semiclassical strings in AdS(5)xS(5). At one loop, the dimensions of large operators can be computed with the help of Bethe ansatz and…

High Energy Physics - Theory · Physics 2009-11-10 Martin Lubcke , Konstantin Zarembo

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 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 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 study string quantum corrections to the ratio of latitude and circular Wilson loops in N=4 super-Yang-Mills theory at strong coupling. Conformal gauge for the corresponding minimal surface in AdS(5)xS(5) is singular and we show that an…

High Energy Physics - Theory · Physics 2018-04-04 Alessandra Cagnazzo , Daniel Medina-Rincon , Konstantin Zarembo

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory.…

High Energy Physics - Theory · Physics 2009-09-29 N. Beisert , S. Frolov , M. Staudacher , A. A. Tseytlin

We present the results of two-loop calculations of the anomalous dimension matrix for the Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory for polarized and unpolarized cases. This matrix can be transformed to a triangle…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Kotikov , L. N. Lipatov , V. N. Velizhanin

We consider certain 1/4 BPS Wilson loop operators in SU(N) ${\cal N}=4$ supersymmetric Yang-Mills theory, whose expectation value can be computed exactly via supersymmetric localization. Holographically, these operators are mapped to…

High Energy Physics - Theory · Physics 2016-04-12 Alberto Faraggi , Leopoldo A. Pando Zayas , Guillermo A. Silva , Diego Trancanelli

We calculate the anomalous dimension of the cusped Wilson loop in ${\cal N}=4$ supersymmetric Yang-Mills theory to order $\lambda^2$ ($\lambda=g^2_{YM}N$). We show that the cancellation between the diagrams with the three-point vertex and…

High Energy Physics - Theory · Physics 2008-11-26 Yuri Makeenko , Poul Olesen , Gordon W. Semenoff

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 analyze in detail the relation between an exactly marginal deformation of N=4 SYM - the Leigh-Strassler or ``beta-deformation'' - and its string theory dual (recently constructed in hep-th/0502086) by comparing energies of semiclassical…

High Energy Physics - Theory · Physics 2010-04-06 S. A. Frolov , R. Roiban , A. A. Tseytlin

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 consider the operators with highest anomalous dimension $\Delta$ in the compact rank-one sectors $\mathfrak{su}(1|1)$ and $\mathfrak{su}(2)$ of ${\cal N}=4$ super Yang-Mills. We study the flow of $\Delta$ from weak to strong 't Hooft…

High Energy Physics - Theory · Physics 2010-02-03 Matteo Beccaria , Luigi Del Debbio

We consider circular strings rotating with equal spins S_1=S_2=S in two orthogonal planes in AdS_5 and suggest that they may be dual to "long" gauge theory operators built out of self-dual components of gauge field strength. As was found in…

High Energy Physics - Theory · Physics 2010-02-16 I. Y. Park , A. Tirziu , A. A. Tseytlin

Recently, Freyhult, Rej and Staudacher (FRS) proposed an integral equation determining the leading logarithmic term of the anomalous dimension of sl(2) twist-operators in N=4 SYM for large Lorentz spin M and twist L at fixed j = L/log(M).…

High Energy Physics - Theory · Physics 2011-06-02 Matteo Beccaria

Relying on a few lowest order perturbative calculations of anomalous dimensions of gauge invariant operators built from holomorphic scalar fields and an arbitrary number of covariant derivatives in maximally supersymmetric gauge theory, we…

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

The anomalous dimensions of planar N=4 SYM theory operators like tr(Phi D^S Phi) expanded in large spin S have the asymptotics \gamma= f ln S + f_c + 1/S (f_11 ln S + f_10) + ..., where f (the universal scaling function or cusp anomaly),…

High Energy Physics - Theory · Physics 2009-07-13 M. Beccaria , V. Forini , A. Tirziu , A. A. Tseytlin