论文标题

五维LIFSHITZ理论中的RG流量和对称性增强

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

论文作者

Lambert, Neil, Smith, Joseph

论文摘要

具有Z = 2 LIFSHITZ缩放的拉格朗日仪表理论提供了一个相互作用的,渐近免费的五维领域理论的家族。我们检查了它们的一些量子特性,将先前的结果扩展到包括物质。我们提出的无定理,在没有约束的情况下,这些理论不能接受旋转的超对称性或增强对称性。但是,我们认为存在固定点可以接收超对称性和增强的重新归一化组流动,即超级芯源对称性。我们还提供了具有标量超对称性的Lifshitz仪表理论的例子。

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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