N=4, d=1 supermultiplets from nonlinear realizations of D(2,1;\alpha)

TL;DR

This paper constructs all known and two new off-shell N=4, d=1 supermultiplets from nonlinear realizations of the supergroup D(2,1;lpha), detailing their transformation properties and invariant actions.

Contribution

It introduces a systematic method to derive supermultiplets from nonlinear realizations of D(2,1;lpha) and uncovers new multiplets and their interrelations.

Findings

Constructed all known N=4, d=1 supermultiplets as constrained superfields.

Discovered two new supermultiplets with explicit superconformal transformations.

Presented invariant superfield actions and nonlinear relations between multiplets.

Abstract

Proceeding from nonlinear realizations of the most general N=4, d=1 superconformal symmetry associated with the supergroup D(2,1;\alpha), we construct all known and two new off-shell N=4, d=1 supermultiplets as properly constrained N=4 superfields. We find plenty of nonlinear interrelations between the multiplets constructed and present a few examples of invariant superfield actions for them. The superconformal transformation properties of these multiplets are explicit within our method.