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16 April 2024

» arxiv » hep-th/9310018

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Representations of the $S_N$-Extended Heisenberg Algebra and Relations Between Knizhnik-Zamolodchikov Equations and Quantum Calogero Model
Lars Brink ; Mikhail A. Vasiliev ;
Date:	4 Oct 1993
Journal:	Mod.Phys.Lett. A8 (1993) 3585-3592
Subject:	High Energy Physics - Theory; Exactly Solvable and Integrable Systems \| hep-th nlin.SI solv-int
Abstract:	We discuss lowest-weight representations of the $S_N$-Extended Heisenberg Algebras underlying the $N$-body quantum-mechanical Calogero model. Our construction leads to flat derivatives interpolating between Knizhnik-Zamolodchikov and Dunkl derivatives. It is argued that based on these results one can establish new links between solutions of the Knizhnik-Zamolodchikov equations and wave functions of the Calogero model.
Source:	arXiv, hep-th/9310018
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