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arXiv · 1306.4215

Superbosonisation, Riesz superdistributions, and highest weight modules (extended version)

Alexander Alldridge·Zain Shaikh
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Abstract

This is the extended version of a survey prepared for publication in the Springer INdAM series. Superbosonisation, introduced by Littelmann-Sommers-Zirnbauer, is a generalisation of bosonisation, with applications in Random Matrix Theory and Condensed Matter Physics. We link the superbosonisation identity to Representation Theory and Harmonic Analysis and explain two new proofs, one via the Laplace transform and one based on a multiplicity freeness statement.

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Alexander Alldridge, Zain Shaikh. 2013-09-03. Superbosonisation, Riesz superdistributions, and highest weight modules (extended version). https://arxiv.org/abs/1306.4215

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