2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56228We review the unitarity bounds and the multiplet shortening of UIR's of 4 dimensional superconformal algebras $SU(2,2|N)$, ($N=1,2,4$) in view of their dual role in the AdS/SCFT correspondence. Some applications to KK spectra, non-perturbative states and stringy states are given.minor changes, references addedHigh Energy Physics - TheorySuperconformal Field Theories, Multiplet Shortening, and the AdS$_5$/SCFT$_4$ Correspondencetext