Homrich, Alexandre2024-01-232024-01-232024-01-232024-01-16http://hdl.handle.net/10012/20272This thesis compiles a few developments on the S-matrix bootstrap, conformal field theory, and integrability in N = 4 SYM. After an introduction contextualizing the various works that compose this thesis, we present a number of results in independent chapters, followed by a conclusion discussing some future directions.enquantum field theoryconformal field theoryscattering amplitudesintegrabilityDoctoral Thesis