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

Superbosonisation via Riesz superdistributions