2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/201686We propose a nonperturbative definition of N=4 super Yang-Mills (SYM). We realize N=4 SYM on RxS^3 as the theory around a vacuum of the plane wave matrix model. Our regularization preserves sixteen supersymmetries and the gauge symmetry. We perform the 1-loop calculation to give evidences that the superconformal symmetry is restored in the continuum limit.39 pages, 6 figures, some sentences are improved, references added, typos corrected, version to appear in PRDHigh Energy Physics - Theorytext