The Star Product on the Fuzzy Supersphere

The fuzzy supersphere S (2,2) F is a finite-dimensional matrix approximation to the supersphere S (2,2) incorporating supersymmetry exactly. Here the ⋆-product of functions on S (2,2) F is obtained by utilizing the OSp(2,1) coherent states. We check its graded commutative limit to S (2,2) and extend it to fuzzy versions of sections of bundles using the methods of [1]. A brief discussion of the geometric structure of our ⋆-product completes our work.