Wednesday, June 19, 2013

1306.4215 (Alexander Alldridge et al.)

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

Alexander Alldridge, Zain Shaikh
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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