  The superbosonisation identity of Littelmann-Sommers-Zirnbauer is a new tool
to study universality of random matrix ensembles via supersymmetry, which is
applicable to non-Gaussian invariant distributions. In this note, we identify
the right-hand side with a super-generalisation of the Riesz distribution.
Using the Laplace transformation and tools from harmonic superanalysis, we give
a short and conceptual new proof of the formula.
