Scattering Amplitudes in String/Gauge Theory Correspondence

Abstract

We review some generalizations of the Alday-Maldacena conjecture in the AdS/CFT correspondence. We discuss several scattering processes in different theories, but we mainly focus on the theories with fundamental matter and on finite temperature theories. Namely, the dual theory of the D3(Nc)-D7(Nf) model at the probe limit, the N = 4 super Yang-Mills at finite temperature with nonzero R-charge densities, and the Non-Commutative gauge theory at finite temperature. In these theories we review the analysis and the corresponding scattering amplitude results. We also discuss briefly the possibility of existence of different minimal surface solutions corresponding to a scattering amplitude, that become dominant at different regions due to different saddle points becoming dominant at high energies when the string theory is expanded around them. Finally, we mention some future directions for the scattering amplitudes in the above theories.