  We examine two different m-traces in the category of representations over the
quantum Lie superalgebra associated to $\mathfrak{sl}(m|n)$ at root of unity.
The first m-trace is on the ideal of projective modules and leads to new
Extended Topological Quantum Field Theories. The second m-trace is on the ideal
of perturbative typical modules. We consider the quotient with respect to
negligible morphisms coming from this m-trace and show that in the case of
$\mathfrak{sl}(2|1)$ this quotient leads to 3-manifolds invariants. We
conjecture that the quotient category of perturbatives over quantum
$\mathfrak{sl}(m|n)$ leads to 3-manifold invariants and more generally ETQFTs.
