and
The category $S Vect$ of super vector spaces is the symmetric monoidal category which as a monoidal category is the ordinary monoidal category of $\mathbb{Z}_2$-graded vector spaces for which
and
but equipped with the unique non-trivial symmetric monoidal structure
that is given on homogeneously graded elements $v,w$ of degree $|v|, |w| \in \mathbb{Z}_2$ as
monoids in $S Vect$ are super algebras.
manifolds modeled on $S Vect$ are supermanifolds
etc.