Deformed one-loop amplitudes in N = 4 super-Yang-Mills theory

Abstract

We investigate Yangian-invariant deformations of one-loop amplitudes in N = 4 super-Yang-Mills theory employing an algebraic representation of amplitudes. In this language, we reproduce the deformed massless box integral describing the deformed four-point one-loop amplitude and compare different realizations of said amplitude.

arXiv comment19 pages

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• N=4 Scattering Amplitudes and the Deformed Grassmannian
• Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory
• Grassmannians and form factors with $q^2=0$ in N=4 SYM theory
• Wilson lines, Grassmannians and Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Cluster Algebras and the Positive Grassmannian
• Positivity Sectors and the Amplituhedron
• On the singlet projector and the monodromy relation for psu(2, 2|4) spin chains and reduction to subsectors
• Non-Planar On-Shell Diagrams
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Top-forms of Leading Singularities in Nonplanar Multi-loop Amplitudes
• Logarithmic Singularities and Maximally Supersymmetric Amplitudes
• Grassmannian Integrals in Minkowski Signature, Amplitudes, and Integrability
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes