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Anomalous Supersymmetry

Georgios Katsianis, Ioannis Papadimitriou, Kostas Skenderis, and Marika Taylor
Phys. Rev. Lett. 122, 231602 – Published 14 June 2019

Abstract

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.

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  • 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

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Georgios Katsianis1,2, Ioannis Papadimitriou3, Kostas Skenderis1,2, and Marika Taylor1,2

  • 1STAG Research Centre, Highfield, University of Southampton, SO17 1BJ Southampton, United Kingdom
  • 2Mathematical Sciences, Highfield, University of Southampton, SO17 1BJ Southampton, United Kingdom
  • 3School of Physics, Korea Institute for Advanced Study, Seoul 02455, Korea

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Issue

Vol. 122, Iss. 23 — 14 June 2019

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