Relative (pre)-modular categories from special linear Lie superalgebras

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