Lectures on Scattering Amplitudes via AdS/CFT

TL;DR

This paper reviews recent advances in calculating planar N=4 super Yang-Mills scattering amplitudes at strong coupling using AdS/CFT duality, comparing regularization schemes and their conformal properties.

Contribution

It provides explicit computations of amplitudes with different regularizations and analyzes their conformal invariance, enhancing understanding of strong coupling behavior.

Findings

Finite parts of amplitudes are consistent across regularizations.

Radial cut-off scheme effectively captures conformal properties.

Explicit strong coupling calculations support AdS/CFT predictions.

Abstract

We review recent progress on computing scattering amplitudes of planar N=4 super Yang-Mills at strong coupling by using the AdS/CFT duality. We do explicit computations by using both, dimensional regularization and a cut-off in the radial direction. Up to an additive constant independent on the kinematics, the finite piece of the amplitude is the same in both regularizations. The later scheme is particularly appropriate for understanding the conformal properties of the amplitudes.