N=4 SYM model for soft interactions at high energy

Abstract

In this paper we compare the prediction for high energy soft interactions in the model of N=4 SYM, with the experimental data. It is shown that this model is able to describe the total, elastic and inelastic cross sections and the elastic slope with only three free parameters. However, the model failed to obtain the cross sections for diffractive production, which was close to the experimental data, giving small values for them. We believe that the theory of N=4 SYM, of the order of $1/\lambda$ is needed to find the origin of large mass diffraction.