Abstract
We consider field theories that exhibit a supersymmetric Lifshitz scaling with two real supercharges. The theories can be formulated in the language of stochastic quan-tization. We construct the free field supersymmetry algebra with rotation singlet fermions for an even dynamical exponent z = 2k in an arbitrary dimension. We analyze the classical and quantum z = 2 supersymmetric interactions in 2 + 1 and 3 + 1 spacetime dimensions and reveal a supersymmetry preserving quantum diagrammatic cancellation. Stochastic quantization indicates that Lifshitz scale invariance is broken in the (3 + 1)-dimensional quantum theory.
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ArXiv ePrint: 1508.03338
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Chapman, S., Oz, Y. & Raviv-Moshe, A. On supersymmetric Lifshitz field theories. J. High Energ. Phys. 2015, 162 (2015). https://doi.org/10.1007/JHEP10(2015)162
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DOI: https://doi.org/10.1007/JHEP10(2015)162