A supermultiplet is an irreducible representation of the Super-Poincaré algebra. Conserved supercharges pair its bosonic and fermionic states at equal four-momentum.
Every positive-energy supermultiplet contains equally many bosonic and fermionic states. A supertrace of a positive supercharge anticommutator proves the equality, provided supersymmetry is exact and the representation is finite-dimensional at fixed momentum.
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