Extended superconformal symmetry and Calogero-Marchioro model

TL;DR

This paper embeds the two-dimensional Calogero-Marchioro Model into an extended superconformal framework, analyzing its quantum dynamics, supersymmetry properties, and relevance to reduced Yang-Mills theories.

Contribution

It introduces a novel superconformal embedding of the CMM and explores supersymmetry breaking patterns and higher-dimensional generalizations.

Findings

CMM embedded into SU(1,1|2) superconformal Hamiltonian

Analysis of supersymmetry breaking patterns

Relevance to low energy effective actions of reduced Yang-Mills theory

Abstract

We show that the two dimensional Calogero-Marchioro Model (CMM) without the harmonic confinement can naturally be embedded into an extended SU(1,1|2) superconformal Hamiltonian. We study the quantum evolution of the superconformal Hamiltonian in terms of suitable compact operators of the N=2 extended de Sitter superalgebra with central charge and discuss the pattern of supersymmetry breaking. We also study the arbitrary D dimensional CMM having dynamical OSp(2|2) supersymmetry and point out the relevance of this model in the context of the low energy effective action of the dimensionally reduced Yang-Mills theory.