Composite Operators in the Twistor Formulation of $\mathcal{N}=4$ SYM Theory

Abstract

We incorporate gauge-invariant local composite operators into the twistor-space formulation of $\mathcal{N}=4$ Super Yang-Mills theory. In this formulation, the interactions of the elementary fields are reorganized into infinitely many interaction vertices and we argue that the same applies to composite operators. To test our definition of the local composite operators in twistor space, we compute several corresponding form factors, thereby also initiating the study of form factors using the position twistor-space framework. Throughout this letter, we use the composite operator built from two identical complex scalars as a pedagogical example; we treat the general case in a follow-up paper.

letter, 5 pages, 1 figure

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Cited by in corpus (29)

• A Three-Point Form Factor Through Five Loops
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• The SU(2|3) dynamic two-loop form factors
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• Higgs amplitudes from $\mathcal{N}=4$ super Yang-Mills theory
• Twistor methods for AdS${}_5$
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• A note on connected formula for form factors
• The connected prescription for form factors in twistor space
• 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
• Form factor recursion relations at loop level
• On Form Factors and Correlation Functions in Twistor Space
• Grassmannians and form factors with $q^2=0$ in N=4 SYM theory
• The 4d/2d correspondence in twistor space and holomorphic Wilson lines
• Composite operators and form factors in N=4 SYM
• Wilson lines, Grassmannians and Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• Demystifying the twistor construction of composite operators in N=4 super-Yang-Mills theory
• 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
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Twistor action for general relativity
• Ambitwistor strings and reggeon amplitudes in N=4 SYM
• Analytic two-Loop four-point form factor of the stress-tensor supermultiplet in $\mathcal{N}=4$ SYM
• On-shell Methods for Form Factors in N=4 SYM and Their Applications