A no-go theorem establishes that only the composite spin-1/2 Dirac fermion propagates as dark matter in the quadratic spinor Lagrangian, ruling out spin-3/2.
Experimental consequences of supersymmetry
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Dark matter from the quadratic spinor Lagrangian II: A spin-3/2 no-go and the uniqueness of the spin-1/2 candidate
A no-go theorem establishes that only the composite spin-1/2 Dirac fermion propagates as dark matter in the quadratic spinor Lagrangian, ruling out spin-3/2.