Composite operators and form factors in N=4 SYM

Abstract

We construct the most general composite operators of N = 4 SYM in Lorentz harmonic chiral ($\approx$ twistor) superspace. The operators are built from the SYM supercurvature which is nonpolynomial in the chiral gauge prepotentials. We reconstruct the full nonchiral dependence of the supercurvature. We compute all tree-level MHV form factors via the LSZ redcution procedure with on-shell states made of the same supercurvature.

32 pages

References in corpus (9)

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• Demystifying the twistor construction of composite operators in N=4 super-Yang-Mills theory

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• The SU(2|3) dynamic two-loop form factors
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills
• Higgs amplitudes from $\mathcal{N}=4$ super Yang-Mills theory
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Full-color three-loop three-point form factors in N=4 SYM
• Dual conformal invariance for form factors
• Form factor recursion relations at loop level
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• Twistor fishnets
• Space-time CFTs from the Riemann sphere
• 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