# Anomalous Supersymmetry

## TL;DR

This paper demonstrates that supersymmetry is anomalous in ${\

## Contribution

It establishes the presence of supersymmetry anomalies in general ${\

## Key findings

- Anomaly appears in four-point functions involving supercurrents and R-currents.
- The anomaly is confirmed in the massless superconformal Wess-Zumino model at one loop.
- Supersymmetry anomaly is linked to R-symmetry anomalies via Wess-Zumino conditions.

## Abstract

We show that supersymmetry is anomalous in ${\cal N}=1$ 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 with either 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.