Tree-level amplitudes and dual superconformal symmetry

Abstract

We review the structure of gauge theory scattering amplitudes at tree level and describe how a compact expression can be found which encodes all the tree-level amplitudes in the maximally supersymmetric N=4 theory. The expressions for the amplitudes reveal a dual superconformal symmetry. We describe how these ideas can be extended to leading singularities and the loop integrand in the planar theory and discuss the appearance of dual conformal symmetry in higher-dimensional gauge theories. This article is an invited review for a special issue of Journal of Physics A devoted to "Scattering Amplitudes in Gauge Theories".

24 pages, 6 figures

References in corpus (13)

• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• Basics of Generalized Unitarity
• Scattering amplitudes: the most perfect microscopic structures in the universe
• Tree-Level Amplitudes in N=8 Supergravity
• Tree-Level Formalism
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• Hidden Simplicity of Gauge Theory Amplitudes

Cited by in corpus (10)

• Basics of Generalized Unitarity
• On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
• Scattering amplitudes: the most perfect microscopic structures in the universe
• An Introduction to On-shell Recursion Relations
• Dual conformal symmetry at loop level; massive regularization
• Bethe Ansatz for Yangian Invariants: Towards Super Yang-Mills Scattering Amplitudes
• Manifestly Dual-Conformal Loop Integration
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• One-loop N = 4 super Yang-Mills scattering amplitudes in d dimensions, relation to open strings and polygonal Wilson loops
• Nonplanar On-shell Diagrams and Leading Singularities of Scattering Amplitudes