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arXiv · 2212.07717

RG Flows and Symmetry Enhancement in Five-Dimensional Lifshitz Gauge Theories

Neil Lambert·Joseph Smith
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Abstract

Lagrangian gauge theories with a z=2 Lifshitz scaling provide a family of interacting, asymptotically free five-dimensional field theories. We examine some of their quantum properties, extending previous results to include matter. We present no-go theorems that, in the absence of constraints, such theories cannot admit a spinorial supersymmetry or a boost symmetry. However, we argue that there exist renormalization group flows whose fixed points can admit supersymmetry and boosts, i.e. super-Schrodinger symmetry. We also present examples of Lifshitz gauge theories with a scalar supersymmetry.

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Neil Lambert, Joseph Smith. 2022-12-15. RG Flows and Symmetry Enhancement in Five-Dimensional Lifshitz Gauge Theories. https://doi.org/10.1007/jhep03(2023)069

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