Non-relativistic Supersymmetry

Details Non-relativistic Supersymmetry Non-relativistic Supersymmetry

2010-08-30

arxiv.org/abs/1008.5102v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

We construct an N=1 supersymmetric gauge theory from z=3 Lifshitz field theory. By modifying the supersymmetry (susy) algebra based on the spacetime symmetry SO(3) $\times$ scaling symmetry, we get a supersymmetric Lagrangian with scalar, fermion and gauge fields, all of whom have the same limiting speed. This solves some naturalness problems of the original Lifshitz theory which is characterized by Lorentz symmetry violation. In order that the susy breaking does not introduce any disastrous terms into the theory, the susy breaking scale is required to be smaller than the scale of Lorentz symmetry violation.

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