On Form Factors and Correlation Functions in Twistor Space

Abstract

In this paper, we continue our study of form factors and correlation functions of gauge-invariant local composite operators in the twistor-space formulation of N=4 super Yang-Mills theory. Using the vertices for these operators obtained in our recent papers arXiv:1603.04471 and arXiv:1604.00012, we show how to calculate the twistor-space diagrams for general N^kMHV form factors via the inverse soft limit, in analogy to the amplitude case. For general operators without $\dot{\alpha }$ indices, we then reexpress the NMHV form factors from the position-twistor calculation in terms of momentum twistors, deriving and expanding on a relation between the two twistor formalisms previously observed in the case of amplitudes. Furthermore, we discuss the calculation of generalized form factors and correlation functions as well as the extension to loop level, in particular providing an argument promised in arXiv:1410.6310.

24+17 pages, 18 figures; v2: typos corrected, matches published version

References in corpus (18)

• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Form factors at strong coupling via a Y-system
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• From Twistor Actions to MHV Diagrams
• On form factors in N=4 sym
• The last of the simple remainders
• Renormalization group coefficients and the S-matrix
• MHV Diagrams in Momentum Twistor Space
• Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• The SU(2|3) dynamic two-loop form factors
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• Composite Operators in the Twistor Formulation of $\mathcal{N}=4$ SYM Theory
• All Tree-Level MHV Form Factors in $\mathcal{N}=4$ SYM from Twistor Space
• A note on connected formula for form factors
• The connected prescription for form factors in twistor space
• A Twistorial Approach to Integrability in N=4 SYM
• Grassmannians and form factors with $q^2=0$ in N=4 SYM theory

Cited by in corpus (17)

• A Three-Point Form Factor Through Five Loops
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Dual conformal invariance for form factors
• Full-color three-loop three-point form factors in N=4 SYM
• Non-planar data of $\mathcal{N}=4$ SYM
• Higher-spin Yang-Mills, amplitudes and self-duality
• Form factor recursion relations at loop level
• The 4d/2d correspondence in twistor space and holomorphic Wilson lines
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Twistor fishnets
• Space-time CFTs from the Riemann sphere
• The all-loop conjecture for integrands of reggeon amplitudes in N=4 SYM
• Cosmological Correlators, In-In Formalism and Double Copy
• Analytic two-Loop four-point form factor of the stress-tensor supermultiplet in $\mathcal{N}=4$ SYM