On the SuperConformal Quantum Mechanics in the Nonlinear Realizations Approach

TL;DR

This paper rederives the N=2 SuperConformal Quantum Mechanics action using nonlinear realizations and introduces a WZNW-like construction for interaction terms via Cartan's Omega forms.

Contribution

It presents a novel derivation of SCQM action and a new approach to constructing interaction terms using Cartan's Omega forms.

Findings

Rederived the N=2 SCQM action within nonlinear realizations.

Proposed a WZNW-like construction for interaction terms.

Provided a geometric interpretation using Cartan's Omega forms.

Abstract

In the framework of nonlinear realizations we rederive the action of the N=2 SuperConformal Quantum Mechanics (SCQM). We propose also the WZNW -- like construction of the interaction term in the lagrangian with the help of Cartan's Omega forms.