On Soft Theorems And Form Factors In N=4 SYM Theory

Abstract

Soft theorems for the form factors of 1/2-BPS and Konishi operator supermultiplets are derived at tree level in N=4 SYM theory. They have a form identical to the one in the amplitude case. For MHV sectors of stress tensor and Konishi supermultiplets loop corrections to soft theorems are considered at one loop level. They also appear to have universal form in soft limit. Possible generalization of the on-shell diagrams to the form factors based on leading soft behavior is suggested. Finally, we give some comments on inverse soft limit and integrability of form factors in the limit $q^2\to 0$

55 pages, 15 figures

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Cited by in corpus (18)

• Infinite-Dimensional Fermionic Symmetry in Supersymmetric Gauge Theories
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• On-shell Diagrams, Graßmannians and Integrability for Form Factors
• Subsubleading soft theorems of gravitons and dilatons in the bosonic string
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• Dual conformal invariance for form factors
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• Form Factor and Boundary Contribution of Amplitude
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• Positivity Sectors and the Amplituhedron
• Note on Identities Inspired by New Soft Theorems
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Exploring straight infinite Wilson lines in the Self Dual and the MHV Lagrangians
• 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
• Scattering amplitudes as multi-particle higher-spin charges in the correspondence space