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.

1+21 pages; v2: reference added, version to appear in Class. Quantum Grav