Group-Theoretical Classification of BPS and Possibly Protected States in D=4 Conformal Supersymmetry

TL;DR

This paper classifies BPS and potentially protected states in four-dimensional conformal supersymmetry by explicitly reducing supersymmetries of unitary irreducible representations of superalgebras.

Contribution

It provides an explicit reduction method for supersymmetries and a comprehensive classification of BPS and protected states in D=4 conformal superalgebras.

Findings

Explicit reduction of supersymmetries in superalgebras

Classification of BPS states in D=4 conformal supersymmetry

Identification of possibly protected states

Abstract

We give explicitly the reduction of supersymmetries of the positive energy unitary irreducible representations of the N-extended D=4 conformal superalgebras su(2,2/N). Further we give the classification of BPS and possibly protected states.