1208.1867 (Alexander N. Jourjine)
Alexander N. Jourjine
We describe a new realization of supersymmetry acting in spaces of differential forms, where transformation parameters are Lorentz scalars instead of Dirac spinors. We call the realization the scalar supersymmetry (s-supersymmetry). We show that s-supersymmetry is always explicitly broken by gauge interactions but s-supersymmetric models do not require an increase of the observed fermionic particle content. Only the observed gauge field content must be supplemented. In addition we present an example of explicit dimension three gauge invariant fermionic mass terms that result in a fermiophobic Higgs field. It obviates the need for Higgsfermion Yukawa couplings to generate fermion mass. Implementation of s-supersymmetry in a string action is also presented.
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http://arxiv.org/abs/1208.1867
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