V.N. Velizhanin

Three-loop universal anomalous dimension of the Wilson operators in N = 4 SUSY Yang-Mills model

Abstract We present results for the three-loop universal anomalous dimension γuni(j) of Wilson twist-2 operators in the N =4 Supersymmetric Yang–Mills model. These expressions are obtained by extracting the most complicated contributions from the three loop non-singlet anomalous dimensions in QCD which were calculated recently. Their singularities at j=1 coincide with the predictions obtained from the BFKL equation for N =4 SYM in the next-to-leading order. The asymptotics of γuni(j) at large j is in an agreement with the expectations based on an interpolation between week and strong coupling regimes in the framework of the AdS/CFT correspondence.

Anomalous dimensions of Wilson operators in N=4 SYM theory

Abstract 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 form by the same similarity transformation as in the leading order. The eigenvalues of the anomalous dimension matrix are expressed in terms of an universal function with its argument shifted by integer numbers. In the end we discuss relations between the weak and strong coupling regimes in the framework of the AdS/CFT correspondence.

Six-loop anomalous dimension of twist-two operators in planar

A bstractWe compute the general form of the six-loop anomalous dimension of twist-two operators with arbitrary spin in planar N=4

SYM theory

\mathcal{N}=4

Nonforward anomalous dimensions of Wilson operators in N=4 superYang-Mills theory

SYM theory. First we find the contribution from the asymptotic Bethe ansatz. Then we reconstruct the wrapping terms from the first 35 even spin values of the full six-loop anomalous dimension computed using the quantum spectral curve approach. The obtained anomalous dimension satisfies all known constraints coming from the BFKL equation, the generalised double-logarithmic equation, and the small spin expansion.

Twist-2 at seven loops in planar

A bstractUsing known all-loop results from the BFKL and generalized doublelogarithmic equations and large spin limit we have recomputed the five-loop planar anomalous dimension of twist-2 operators without consideration of any wrapping effects. One part of the anomalous dimension was calculated in an usual way with the help of Asymptotic Bethe Ansatz. The rest part, related with the wrapping effects, was reconstructed from a known constraints with the help of methods from the numbers theory.

\mathcal{N}

We present the next-to-leading order results for universal non-forward anomalous dimensions of Wilson twist-2 operators in N=4 supersymmetric Yang-Mills theory. The whole calculation was performed using supersymmetric Ward identities derived in this paper together with already known QCD results and does not involve any additional calculation of diagrams. We also considered one particular limit of our result, which could potentially be interesting in the context of AdS/CFT correspondence.We present the next-to-leading order results for universal non-forward anomalous dimensions of Wilson twist-2 operators in N=4 supersymmetric Yang-Mills theory. The whole calculation was performed using supersymmetric Ward identities derived in this paper together with already known QCD results and does not involve any additional calculation of diagrams. We also considered one particular limit of our result, which could potentially be interesting in the context of AdS/CFT correspondence.

= 4 SYM theory: full result and analytic properties

A bstractThe anomalous dimension of twist-2 operators of arbitrary spin in planar N