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New many-body superconformal models as reductions of simple composite systems

2003/04/30 by Stefano Bellucci, Anton Galajinsky, S. Krivonos +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.68.064010

published as Phys.Rev. D68 (2003) 064010 · 12 pages, no figures. v2: Title changed. New material and acknowledgements added

arxiv created 2003/05/14 · openalex publication_date 2003/09/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We propose a new reduction mechanism which allows one to construct n-particle (super)conformal theories with a pairwise interaction starting from a composite system involving n(n\ensuremath-1)/2+1 copies of the ordinary (super)conformal mechanics. Applications of the scheme include an N=4 superconformal extension for a complexification of the Calogero model and a D(2,1|\ensuremathα)-invariant n-particle system.

Citations