Katsianis Georgios, Papadimitriou Ioannis, Skenderis Kostas, Taylor Marika
STAG Research Centre, Highfield, University of Southampton, SO17 1BJ Southampton, United Kingdom.
Mathematical Sciences, Highfield, University of Southampton, SO17 1BJ Southampton, United Kingdom.
Phys Rev Lett. 2019 Jun 14;122(23):231602. doi: 10.1103/PhysRevLett.122.231602.
We show that supersymmetry is anomalous in N=1 superconformal quantum field theories (SCFTs) with an anomalous R symmetry. This anomaly was originally found in holographic SCFTs at strong coupling. Here we show that this anomaly is present, in general, and demonstrate it for the massless superconformal Wess-Zumino model via a one-loop computation. The anomaly appears first in four-point functions of two supercurrents either with two R currents or with an R current and an energy-momentum tensor. In fact, the Wess-Zumino consistency conditions together with the standard R-symmetry anomaly imply the existence of the anomaly. We outline the implications of this anomaly.
我们证明，在具有反常R对称性的N = 1超共形量子场论（SCFTs）中，超对称性是反常的。这种反常最初是在强耦合下的全息SCFTs中发现的。在这里，我们证明这种反常一般是存在的，并通过单圈计算在无质量超共形韦斯-祖米诺模型中进行了演示。这种反常首先出现在两个超流与两个R流或一个R流和一个能量-动量张量的四点函数中。事实上，韦斯-祖米诺一致性条件与标准的R对称性反常一起意味着这种反常的存在。我们概述了这种反常的影响。
