Review of AdS/CFT Integrability, Chapter V.2: Dual Superconformal Symmetry

Understand

Scattering amplitudes in planar N=4 super Yang-Mills theory reveal a remarkable symmetry structure.

• In addition to the superconformal symmetry of the Lagrangian of the theory, the planar amplitudes exhibit a dual superconformal symmetry.
• The presence of this additional symmetry imposes strong restrictions on the amplitudes and is connected to a duality relating scattering amplitudes to Wilson loops defined on polygonal light-like contours.
• The combination of the superconformal and dual superconformal symmetries gives rise to a Yangian, an algebraic structure which is known to be related to the appearance of integrability in other regimes of the theory.