2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216528SW(3/2,2) superconformal algebra is W algebra with two Virasoro operators. The Kac determinant is calculated and the complete list of unitary representations is determined. Two types of extensions of SW(3/2,2) algebra are discussed. A new approach to construction of W algebras from rational conformal field theories is proposed.latex2e, 37 pages, 2 figures; v2: published version, introduction extendedHigh Energy Physics - TheoryMathematical Physicstext