Correlation functions of the chiral stress-tensor multiplet in N=4 SYM

Abstract

We give a new method for computing the correlation functions of the chiral part of the stress-tensor supermultiplet that relies on the reformulation of N=4 SYM in twistor space. It yields the correlation functions in the Born approximation as a sum of Feynman diagrams on twistor space that involve only propagators and no integration vertices. We use this unusual feature of the twistor Feynman rules to compute the correlation functions in terms of simple building blocks which we identify as a new class of N=4 off-shell superconformal invariants. Making use of the duality between correlation functions and planar scattering amplitudes, we demonstrate that these invariants represent an off-shell generalisation of the on-shell invariants defining tree-level scattering amplitudes in N=4 SYM.

arXiv comment46 pages, 8 figures; v2: minor corrections, references added

References in corpus (9)

• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Dual Superconformal Invariance, Momentum Twistors and Grassmannians
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• From correlation functions to scattering amplitudes
• Leading singularities and off-shell conformal integrals
• MHV Diagrams in Momentum Twistor Space
• Aspects of N=4 SYM
• Correlation functions, null polygonal Wilson loops, and local operators
• A Twistorial Approach to Integrability in N=4 SYM

Cited by in corpus (10)

• Four-point correlation function of stress-energy tensors in N=4 superconformal theories
• Composite Operators in the Twistor Formulation of $\mathcal{N}=4$ SYM Theory
• Twistor methods for AdS${}_5$
• A note on connected formula for form factors
• Bootstrapping correlation functions in N=4 SYM
• Demystifying the twistor construction of composite operators in N=4 super-Yang-Mills theory
• Amplituhedron-like geometries
• Space-time CFTs from the Riemann sphere
• Wilson Loop Form Factors: A New Duality
• Lagrangian Insertion in the Light-Like Limit and the Super-Correlators/Super-Amplitudes Duality