Supersymmetry does not imply mass degeneracy
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Barenboim Szuchman, Gabriela Alejandra; Lykken, Joseph
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Aquest document és un/a article, creat/da en: 2004
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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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