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

Abstract

Proceeding from nonlinear realizations of the most general N = 4, d = 1 superconformal symmetry associated with the supergroup D(2, 1; α), 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.