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.
Lorentz breaking supersymmetry and Horava-Lifshitz-like models
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abstract
We present a Lorentz-breaking supersymmetric algebra characterized by a critical exponent $z$. Such construction requires a non trivial modification of the supercharges and superderivatives. The improvement of renormalizability for supersymmetric scalar QED is shown and the K\"ahlerian effective potentials are calculated in different cases. We also show how the theory flows naturally to the Lorentz symmetric case at low energies.
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hep-th 1years
2019 1verdicts
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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.