Superbosonisation, Riesz superdistributions, and highest weight modules

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Abstract

Superbosonisation, introduced by Littelmann-Sommers-Zirnbauer, is a generalisation of bosonisation, with applications in Random Matrix Theory and Condensed Matter Physics. In this survey, 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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APA

Alldridge, A., & Shaikh, Z. (2014). Superbosonisation, Riesz superdistributions, and highest weight modules. Springer INdAM Series, 7, 1–18. https://doi.org/10.1007/978-3-319-02952-8_1

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