Superbosonisation, Riesz superdistributions, and highest weight modules (extended version)
Mathematical Physics
2014-03-28 v2 math.MP
Representation Theory
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.
Cite
@article{arxiv.1306.4215,
title = {Superbosonisation, Riesz superdistributions, and highest weight modules (extended version)},
author = {Alexander Alldridge and Zain Shaikh},
journal= {arXiv preprint arXiv:1306.4215},
year = {2014}
}
Comments
20 pages; v2: minor corrections