Homeotic Supersymmetry
arXiv:hep-ph/0303238 · doi:10.1016/j.physletb.2003.12.076
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 nor the Haag-Lopuszanski-Sohnius theorem.
4 pages, revtex