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Non-relativistic Supersymmetry
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abstract
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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Cited by 1 Pith paper
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Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories
A new class of N=2 holomorphic Lifshitz supersymmetric models is shown to possess exact lines of quantum critical fixed points with coupling-dependent dynamical exponent z.
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