Lectures on Scattering Amplitudes via AdS/CFT

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.

Harvmac, 23 pages, 6 figures

References in corpus (8)

• Wilson loops in large N field theories
• Gluon scattering amplitudes at strong coupling
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Multi-loop Amplitudes and Resummation
• Comments on gluon scattering amplitudes via AdS/CFT
• A note on twist two operators in N=4 SYM and Wilson loops in Minkowski signature

Cited by in corpus (15)

• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• Scattering into the fifth dimension of N=4 super Yang-Mills
• Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory
• Space-like minimal surfaces in AdS x S
• Phase transitions in Wilson loop correlator from integrability in global AdS
• General Leznov-Savelev solutions for Pohlmeyer reduced AdS${}_5$ minimal surfaces
• Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling
• Semiclassical strings in AdS(3) X S^2
• Universal structure of subleading infrared poles at strong coupling
• Exceptional conformal anomaly of null polygonal Wilson loops
• Vacuum type space-like string surfaces in AdS_3 x S^3
• All-order results for soft and collinear gluons
• Algebra of Lax Connection for T-Dual Models
• Theoretical Developments in SUSY
• Coulomb Phase Gluon Scattering at Strong Coupling