Pomeron in the N=4 supersymmetric gauge model at strong couplings

TL;DR

This paper computes the BFKL Pomeron intercept for N=4 supersymmetric gauge theory at strong coupling using AdS/CFT correspondence, providing a detailed inverse coupling expansion and confirming results with perturbative calculations.

Contribution

It presents a novel calculation of the Pomeron intercept at strong coupling in N=4 SYM using string energies and confirms the results with perturbative anomalous dimension analysis.

Findings

Derived the inverse coupling expansion of the Pomeron intercept.

Confirmed the slope of the anomalous dimension matches recent theoretical predictions.

Validated the strong coupling results with perturbative calculations up to fifth order.

Abstract

We find the BFKL Pomeron intercept at N=4 supersymmetric gauge theory in the form of the inverse coupling expansion j0=2-2/lambda**(1/2)-1/lambda + 1/4 1/lambda**(3/2) + 2(1+3zeta3)/lambda**(2) + O(1/lambda**(5/2)) with the use of the AdS/CFT correspondence in terms of string energies calculated recently. The corresponding slope gamma'(2) of the anomalous dimension calculated directly up to the fifth order of perturbation theory turns out to be in an agreement with the closed expression obtained from the recent Basso results.