Using the Moyal *-product and orthosymplectic supersymmetry, we construct a natural nontrivial supertrace and an associated
nondegenerate invariant supersymmetric bilinear form for the Lie superalgebra structure of the Weyl algebra W. We decompose
adjoint and twisted adjoint actions. We define a renormalized supertrace and a formal inverse Weyl transform in a deformation
quantization framework and develop some examples
Keywords Deformation quantization - supersymmetry - Weyl algebra - supertrace - renormalization - formal inverse Weyl transform
Mathematics Subject Classification: 53D55, 17B05, 17B10, 17B20, 17B60, 17B65