  We introduce coordinates for a principal bundle $S\tilde T(F)$ over the super
Teichmueller space $ST(F)$ of a surface $F$ with $s\geq 1$ punctures that
extend the lambda length coordinates on the decorated bundle $\tilde
T(F)=T(F)\times {\mathbb R}_+^s$ over the usual Teichmueller space $T(F)$. In
effect, the action of a Fuchsian subgroup of $PSL(2,{\mathbb R})$ on Minkowski
space ${\mathbb R}^{2,1}$ is replaced by the action of a super Fuchsian
subgroup of $OSp(1|2)$ on the super Minkowski space ${\mathbb R}^{2,1|2}$,
where $OSp(1|2)$ denotes the orthosymplectic Lie supergroup, and the lambda
lengths are extended by fermionic invariants of suitable triples of isotropic
vectors in ${\mathbb R}^{2,1|2}$. As in the bosonic case, there is the analogue
of the Ptolemy transformation now on both even and odd coordinates as well as
an invariant even two-form on $S\tilde T(F)$ generalizing the Weil-Petersson
Kaehler form. This finally solves a problem posed in Yuri Ivanovitch Manin's
Moscow seminar some thirty years ago to find the super analogue of decorated
Teichmueller theory and provides a natural geometric interpretation in
${\mathbb R}^{2,1|2}$ for the super moduli of $S\tilde T(F)$.
