Bootstrapping correlation functions in N=4 SYM

Abstract

We describe a new approach to computing the chiral part of correlation functions of stress-tensor supermultiplets in N=4 SYM that relies on symmetries, analytic properties and the structure of the OPE only. We demonstrate that the correlation functions are given by a linear combination of chiral N=4 superconformal invariants accompanied by coefficient functions depending on the space-time coordinates only. We present the explicit construction of these invariants and show that the six-point correlation function is fixed in the Born approximation up to four constant coefficients by its symmetries. In addition, the known asymptotic structure of the correlation function in the light-like limit fixes unambiguously these coefficients up to an overall normalization. We demonstrate that the same approach can be applied to obtain a representation for the six-point NMHV amplitude that is free from any auxiliary gauge fixing parameters, does not involve spurious poles and manifests half of the dual superconformal symmetry.

LaTeX, 22 pages

References in corpus (3)

• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Four-point correlation function of stress-energy tensors in N=4 superconformal theories
• Correlation functions of the chiral stress-tensor multiplet in N=4 SYM

Cited by in corpus (12)

• Bootstrapping the simplest correlator in planar N = 4 SYM at all loops
• One-loop amplitudes in $Ad{S}_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling
• The Correlahedron
• Towards the Virasoro-Shapiro Amplitude in AdS5xS5
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Multipoint correlators on the supersymmetric Wilson line defect CFT
• Generalizing event shapes: In search of lost collider time
• N=4 super-Yang-Mills in LHC superspace. Part II: Non-chiral correlation functions of the stress-tensor multiplet
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• The property of maximal transcendentality: calculation of Feynman integrals
• Form factors and the dilatation operator in $\mathcal{N}=4$ super Yang-Mills theory and its deformations
• Higher-Point Correlators in N=4 SYM: Generating Functions