Abstract
We show that there are only two kinds of (classical) central charges which can occur in the off-shell continuation of a supersymmetry algebra: mass dependent and interaction dependent. Both can be obtained by dimensional reduction, but only the mass-dependent kind allows self-interactions (with certain exceptions: see added note). As an example, we derive both kinds for a massive three-dimensional O(2) chiral multiplet coupled to an O(2) vector multiplet. We also discuss four-dimensional extended multiplets.
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