Supersymmetric models with broken Lorentz invariance.
1 Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia
2 CERN Theory division, Geneva, Switzerland ;
3 Institut de Physique, EPFL, Lausanne, Switzerland
Published online: 24 October 2017
Several supersymmetric theories with broken Lorentz invariance are considered. We study at the component level Lorentz violating representations of the supersymmetry algebra and construct Lagrangians for the scalar and vector supermultiplets with broken Lorentz invariance. Lorentz violating model for the gravitational supermultiplet is constructed using the superfield formalism as supersymmetric extension of the linearized Einstein-aether theory. The most general Lagrangian of the linearized Einstein-aether supergravity is constructed. We show that the Lagrangian for this model is unique and obtain its bosonic part in components. The constraints imposed by supersymmetry on the parameters of the theory are obtained. The phenomenological consequences of the model are discussed.
© The authors, published by EDP Sciences, 2017
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