On supersymmetric Lifshitz field theories

Shira Chapman*, Yaron Oz, Avia Raviv-Moshe

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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.

Original languageEnglish
Article number162
JournalJournal of High Energy Physics
Issue number10
StatePublished - 1 Oct 2015


FundersFunder number
German-Israeli Foundation for Scientific Research and Development
Israel Science Foundation
Sponsoring Consortium for Open Access Publishing in Particle Physics


    • Space-Time Symmetries
    • Supersymmetric Effective Theories


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