Many-Body Superconformal Systems from Hamiltonian Reductions

TL;DR

The paper introduces a novel reduction method to construct n-particle superconformal theories from simpler systems, enabling new models like superconformal Calogero and D(2,1|α)-invariant systems.

Contribution

It presents a new reduction mechanism for building multi-particle superconformal models from multiple copies of simpler conformal mechanics.

Findings

Constructed N=4 superconformal extension of a complexified Calogero model.

Developed a D(2,1|α)-invariant n-particle system.

Demonstrated the reduction scheme's applicability to various superconformal theories.

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|\alpha)-invariant n-particle system.