Many-Body Superconformal Systems from Hamiltonian Reductions

Abstract

We propose a new reduction mechanism which allows one to construct n-particle (super)conformal theories with pairwise interaction starting from a composite system involving n(n-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|α)-invariant n-particle system.

12 pages, no figures. v2: Title changed. New material and acknowledgements added