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arXiv · 1301.6569

Superbosonisation via Riesz superdistributions

Alexander Alldridge·Zain Shaikh
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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.

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BibTeXRIS

Alexander Alldridge, Zain Shaikh. 2014-03-27. Superbosonisation via Riesz superdistributions. https://doi.org/10.1017/fms.2014.5

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