Abstract
We show that supersymmetry is anomalous in superconformal quantum field theories (SCFTs) with an anomalous 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 currents or with an current and an energy-momentum tensor. In fact, the Wess-Zumino consistency conditions together with the standard -symmetry anomaly imply the existence of the anomaly. We outline the implications of this anomaly.
- Received 4 April 2019
DOI:https://doi.org/10.1103/PhysRevLett.122.231602
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society