In the massless case of N=1 simple supersimetry, the states are labeled by the helicity λ and the four-momentum.
In this case we have two states in the supermultiplet plus CPT conjugates: |pμ, ± λ> and |pμ, ± (λ-½)>
Then there is a λ= {0, ½} supermultiplet (where for example a quark with λ=½...