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.

19 pages

References in corpus (5)

• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization
• The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
• Bonus Yangian Symmetry for the Planar S-Matrix of N=4 Super Yang-Mills
• A Shortcut to General Tree-level Scattering Amplitudes in N=4 SYM via Integrability

Cited by in corpus (5)

• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• N=4 Scattering Amplitudes and the Deformed Grassmannian
• Grassmannians and form factors with $q^2=0$ in N=4 SYM theory
• Cluster Algebras and the Positive Grassmannian