Non-linear gauge transformations in $D=10$ SYM theory and the BCJ duality

Understand

Recent progress on scattering amplitudes in super Yang--Mills and superstring theory benefitted from the use of multiparticle superfields.

• They universally capture tree-level subdiagrams, and their generating series solve the non-linear equations of ten-dimensional super Yang--Mills.
• We provide simplified recursions for multiparticle superfields and relate them to earlier representations through non-linear gauge transformations of their generating series.
• In this work we discuss the gauge transformations which enforce their Lie symmetries as suggested by the Bern-Carrasco-Johansson duality between color and kinematics.