N=4 superconformal mechanics as a Non linear Realization

TL;DR

This paper constructs a superconformal particle action using non-linear realization of PSU(1,1|2), revealing connections to black hole physics and describing a non-BPS superconformal particle with potential BPS limits.

Contribution

It introduces a novel method to build superconformal particle actions without superfields, linking group theory to black hole physics and BPS conditions.

Findings

The action contains six arbitrary constants.

BPS case arises under specific constant relations.

The model describes a non-BPS superconformal particle.

Abstract

An action for a superconformal particle is constructed using the non linear realization method for the group PSU(1,1|2), without introducing superfields. The connection between PSU(1,1|2) and black hole physics is discussed. The lagrangian contains six arbitrary constants and describes a non-BPS superconformal particle. The BPS case is obtained if a precise relation between the constants in the lagrangian is verified, which implies that the action becomes kappa-symmetric.