Supersymmetry does not imply mass degeneracy

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2004
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Abstract
It is commonly believed that unbroken supersymmetry (SUSY) implies that all members of a supermultiplet have the same mass. We demonstrate that this is not true, by exhibiting a simple counterexample. We employ the formalism of homeotic fermions, in a simple model where CPT conjugate fermions have different masses. This model can be supersymmetrized to a hypermultiplet of fields which form a representation of the conventional N=2 SUSY algebra. Nevertheless, CPT conjugate states in this hypermultiplet have different masses. These surprising results do not violate either the CPT theorem or the Haag¿Lopuszański¿Sohnius theorem.
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Barenboim Szuchman, Gabriela Alejandra Lykken, Joseph 2004 Supersymmetry does not imply mass degeneracy Physics Letters B 583 3¿4 304 308
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