Group-Theoretical Classification of BPS States in D=4 Conformal Supersymmetry: the Case of (1/N)-BPS

TL;DR

This paper provides a detailed group-theoretical classification of (1/N)-BPS states in N-extended D=4 conformal superalgebras, highlighting their significance as potentially protected states.

Contribution

It extends previous work by explicitly classifying (1/N)-BPS states, offering detailed insights into their structure within conformal superalgebras.

Findings

Complete classification of (1/N)-BPS states provided

Identification of potentially protected states

Enhanced understanding of BPS state structure in superconformal theories

Abstract

In an earlier paper we gave the complete group-theoretical classification of BPS states of the N-extended D=4 conformal superalgebras su(2,2/N), but not all interesting cases were given in detail. In the present paper we spell out the interesting case of (1/N)-BPS and possibly protected states.