2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230758Generalizations of the reduced model of super Yang-Mills theory obtained by replacing the Lie algebra structure to Filippov $n$-algebra structures are studied. Conditions for the reduced model actions to be supersymmetric are examined. These models are related with what we call $\{cal N}_{min}=2$ super $p$-brane actions.v3: In the previous versions we overlooked that Eq.(3.9) holds more generally, and missed some supersymmetric actions. Those are now included and modifications including a slight change in the title were made accordingly. 1+18 pagesHigh Energy Physics - Theorytext