  It has been suggested by Groot Nibbelink and Pospelov that Lorentz invariance
can be an emergent symmetry of low-energy physics provided the theory enjoys a
non-relativistic version of supersymmetry. We construct a model that realizes
the latter symmetry dynamically: it breaks Lorentz invariance but leaves the
supersymmetry generators intact. The model is a supersymmetric extension of the
dynamical aether theory of Jacobson and Mattingly. It shows rich dynamics and
possesses a family of inequivalent vacua realizing different symmetry breaking
patterns. In particular, we find stable vacua that break spontaneously spatial
isotropy. Supersymmetry breaking terms give masses to fermionic and bosonic
partners of the aether field. We comment on the coupling of the model to
supergravity and on the implications for Horava gravity.
