Chiral Reductions of the M-Algebra

We present the chiral truncation of the eleven dimensional M-algebra down to ten and six dimensions. In ten dimensions, we obtain a topological extension of the $(1,0)$ Poincar\'e superalgebra that includes super one-form and super five-form charges. Closed super three- and seven-forms associated with this algebra are constructed. In six dimensions, we obtain a topological extension of the $(2,0)$ and $(1,0)$ Poincar\'e superalgebras. The former includes a quintet of super one-form charges, and a decuplet of super three-form charges, while the latter includes a triplet of super three-form charges.