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

Physics – High Energy Physics – High Energy Physics - Theory

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

Scientific paper

10.1088/0264-9381/21/4/021

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.

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