Superbosonisation via Riesz superdistributions
Representation Theory
2014-06-23 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1301.6569,
title = {Superbosonisation via Riesz superdistributions},
author = {Alexander Alldridge and Zain Shaikh},
journal= {arXiv preprint arXiv:1301.6569},
year = {2014}
}
Comments
v3: 45 pages; minor changes