Superbosonisation via Riesz superdistributions
arXiv:1301.6569 · doi:10.1017/fms.2014.5
Abstract
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.
v3: 45 pages; minor changes
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