Superbosonization via Riesz superdistributions (Q2879422)
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scientific article; zbMATH DE number 6336975
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superbosonization via Riesz superdistributions |
scientific article; zbMATH DE number 6336975 |
Statements
1 September 2014
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superbosonization identity
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harmonic superanalysis
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Lie supergroups
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supergeneralization of the Riesz distributions
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Superbosonization via Riesz superdistributions (English)
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The authors give a new conceptual interpretation of the superbosonization identity of \textit{P. Littelmann} et al. [Commun. Math. Phys. 283, No. 2, 343--395 (2008; Zbl 1156.82008)] that links it to harmonic superanalysis of Lie supergroups and symmetric superspaces, and in particular, to a supergeneralization of the Riesz distributions. The proof is reduced to computing the Gindikin gamma function of a Riemannian symmetric superspace, which is determined explicitly.
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