6533b872fe1ef96bd12d43b6

RESEARCH PRODUCT

Supersymmetry does not imply mass degeneracy

Joseph LykkenG. Barenboim

subject

PhysicsParticle physicsNuclear and High Energy PhysicsCPT symmetryHypermultipletHigh Energy Physics::PhenomenologyFísicaSupersymmetryFermionTheoretical physicsFormalism (philosophy of mathematics)High Energy Physics::TheorySupermultipletHigh Energy Physics::ExperimentCounterexampleSupersymmetry algebra

description

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–Lopuszanski–Sohnius theorem.

10.1016/j.physletb.2003.12.076http://dx.doi.org/10.1016/j.physletb.2003.12.076