Non-relativistic Supersymmetry

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.

13 pages

References in corpus (11)

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• High-Energy Tests of Lorentz Invariance
• Lorentz Violation in Supersymmetric Field Theories
• Astrophysical limits on quantum gravity motivated birefringence
• Field Theory at a Lifshitz Point
• New Observational Bounds to Quantum Gravity Signals
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• How far are we from the quantum theory of gravity?
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Cited by in corpus (7)

• On Lorentz violation in Horava-Lifshitz type theories
• On Lorentz-Violating Supersymmetric Quantum Field Theories
• Stability of Horava-Lifshitz Black Holes in the Context of AdS/CFT
• On Supersymmetric Lifshitz Field Theories
• Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories
• Gauge-Higgs Unification in Lifshitz Type Gauge Theory
• Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity