2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204482We clarify some properties of projective superspace by using a manifestly superconformal notation. In particular, we analyze the N=2 scalar multiplet in detail, including its action, and the propagator and its super-Schwinger parameters. The internal symmetry is taken to be noncompact (after Wick rotation), allowing boundary conditions that preserve it off shell. Generalization to N=4 suggests the coset superspace PSU(2,2|4)/OSp(4|4) for the AdS/CFT superstring.19 pages, no figures; v2: fixed sign, added note & reference; v3: added note & references, version to appear in Physical Review DHigh Energy Physics - TheorySuperconformal spaces and implications for superstringstext