TL;DR
This paper constructs massive supermultiplets with spin 3/2 from massless ones, providing gauge-invariant descriptions in flat and AdS spaces for various supersymmetry cases.
Contribution
It introduces a method to build massive supermultiplets with spin 3/2 from massless multiplets, including cases with and without central charge in different spacetime backgrounds.
Findings
Constructed massive supermultiplets in flat d=4 Minkowski space.
Provided examples of supermultiplets in AdS_4 space.
Extended the framework to cases with different N and central charges.
Abstract
In this paper we construct massive supermultiplets out of appropriate set of massless ones in the same way as massive spin s particle could be constructed out of massless spin s,s-1,... ones leading to gauge invariant description of massive particle. Mainly we consider massive spin 3/2 supermultiplets in a flat d=4 Minkowski space both without central charge for N=1,2,3 as well as with central charge for N=2,4. Besides, we give two examples of massive N=1 supermultiplets with spin 3/2 and 2 in AdS_4 space.
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