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We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the…

High Energy Physics - Theory · Physics 2021-02-17 B. A. Kniehl , V. N. Velizhanin

String solitons in AdS_5 contain information of N=4 SUSY Yang-Mills theories on the boundary. Recent proposals for rotating string solitons reproduce the spectrum for anomalous dimensions of Wilson operators for the boundary theory. There…

High Energy Physics - Theory · Physics 2009-11-07 Minos Axenides , Emmanuel Floratos , Alex Kehagias

We compute the non-planar contribution to the anomalous dimension of the eight moment of the twist-2 operators in N=4 supersymmetric Yang-Mills theory at four loops. This result was obtained from the calculations of some elements of the…

High Energy Physics - Theory · Physics 2015-06-19 V. N. Velizhanin

We show that the conformal anomaly for N M5-branes grows like $N^3$. The method we employ relates Coulomb branch interactions in six dimensions to interactions in four dimensions using supersymmetry. This leads to a relation between the…

High Energy Physics - Theory · Physics 2015-06-04 Travis Maxfield , Savdeep Sethi

The spectrum of IIB supergravity on AdS${}_5 \times S^5$ contains a number of bound states described by long double-trace multiplets in $\mathcal{N}=4$ super Yang-Mills theory at large 't Hooft coupling. At large $N$ these states are…

High Energy Physics - Theory · Physics 2018-12-26 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

We study a deformation of N=4 Super-Yang-Mills theory by a dimension-5 vector operator. There is a simple nonlocal "dipole" field-theory that realizes this deformation. We present evidence that this theory is realized in the setting of…

High Energy Physics - Theory · Physics 2010-02-03 K. Dasgupta , O. J. Ganor , G. Rajesh

In this paper we consider anomalous dimensions of double trace operators at large spin ($\ell$) and large twist ($\tau$) in CFTs in arbitrary dimensions ($d\geq 3$). Using analytic conformal bootstrap methods, we show that the anomalous…

High Energy Physics - Theory · Physics 2015-07-21 Apratim Kaviraj , Kallol Sen , Aninda Sinha

The quantum corrections to the counting of statistical entropy for the 5+1-dimensional extremal black string in type-IIB supergravity with two observers are studied using anomalous Wess-Zumino actions for the corresponding intersecting…

High Energy Physics - Theory · Physics 2011-09-13 David D. Song , Richard J. Szabo

We construct interpolating functions fully compatible with S-duality. We then consider the problem of resumming perturbative expansions for anomalous dimensions of low twist non-protected operators in N=4 super Yang-Mills theory. When the…

High Energy Physics - Theory · Physics 2015-06-17 Luis F. Alday , Agnese Bissi

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 use light-like Wilson loops and the AdS/CFT correspondence to compute the anomalous dimensions of twist two operators in the cascading (Klebanov-Strassler) theory. The computation amounts to find a minimal surface in the UV region of the…

High Energy Physics - Theory · Physics 2009-11-10 Martin Kruczenski

N=4 supersymmetric Yang-Mills operators carrying large charges are dual to semiclassical strings in AdS_5xS^5. The spectrum of anomalous dimensions of very large operators has been calculated solving the Bethe ansatz equations in the…

High Energy Physics - Theory · Physics 2009-11-11 Rafael Hernandez , Esperanza Lopez , Africa Perianez , German Sierra

We propose a mechanism for calculating anomalous dimensions of higher-spin twist-two operators in N=4 SYM. We consider the ratio of the two-point functions of the operators and of their superconformal descendants or, alternatively, of the…

High Energy Physics - Theory · Physics 2009-11-11 J. Henn , C. Jarczak , E. Sokatchev

We compute, to the first non-trivial order in the $\epsilon$-expansion of a perturbed scalar field theory, the anomalous dimensions of an infinite class of primary operators with arbitrary spin $\ell=0,1,..$, including as a particular case…

High Energy Physics - Theory · Physics 2018-03-14 Ferdinando Gliozzi

AdS space is the universal covering of a hyperboloid. We consider the action of the deck transformations on a classical string worldsheet in $AdS_5\times S^5$. We argue that these transformations are generated by an infinite linear…

High Energy Physics - Theory · Physics 2009-11-10 Andrei Mikhailov

We study the the high spin expansion of the anomalous dimension for long operators belonging to the $sl(2)$ sector of ${\cal N}=4$ SYM. Keeping the ratio $j$ between the twist and the logarithm of the spin fixed, the anomalous dimensions…

High Energy Physics - Theory · Physics 2009-10-02 Davide Fioravanti , Gabriele Infusino , Marco Rossi

We study non-perturbative interpolating functions to probe the physics of anomalous dimensions associated with twist-two operators in ${\cal N}=4$ SYM of finite and infinite spin. Compared to previous studies, the novel result of this paper…

High Energy Physics - Theory · Physics 2019-09-04 Aritra Banerjee , Abhishek Chowdhury , Somyadip Thakur , Gang Yang

Using the pure spinor formalism, a particular superstring scattering amplitude involving one closed string and $N$ open string vertex operators in $\mathrm{AdS}{}_5 \times \mathrm{S}^5$ is studied. It is shown that the tree-level amplitude…

High Energy Physics - Theory · Physics 2015-06-08 Thales Azevedo , Nathan Berkovits

Operators dual to strings attached to giant graviton branes in AdS$_5\times$S$^5$ can be described rather explicitly in the dual ${\cal N} = 4$ super Yang-Mills theory. They have a bare dimension of order $N$ so that for these operators the…

High Energy Physics - Theory · Physics 2018-06-20 Shaun de Carvalho , Robert de Mello Koch , Augustine Larweh Mahu

In this contribution it is shown how closed formulas for anomalous dimensions of two classes of operators in N=4 SYM can be derived, either by investigating the numerics or on the basis of QCD-inspired assumptions. We discuss the case of…

High Energy Physics - Theory · Physics 2009-12-10 Valentina Forini , Matteo Beccaria