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Anomalous Supersymmetry.

Georgios Katsianis1,2, Ioannis Papadimitriou3, Kostas Skenderis1,2

  • 1STAG Research Centre, Highfield, University of Southampton, SO17 1BJ Southampton, United Kingdom.

Physical Review Letters
|July 13, 2019
PubMed
Summary
This summary is machine-generated.

Supersymmetry is anomalous in N=1 superconformal quantum field theories with anomalous R symmetry. This general finding is demonstrated in the massless superconformal Wess-Zumino model via a one-loop computation.

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Area of Science:

  • Theoretical High Energy Physics
  • Quantum Field Theory
  • Supersymmetry

Background:

  • Supersymmetry (SUSY) is a theoretical framework in particle physics.
  • Superconformal Quantum Field Theories (SCFTs) are key to understanding quantum field theories at strong coupling.
  • Anomalies in symmetries can provide crucial insights into the behavior of quantum field theories.

Purpose of the Study:

  • To demonstrate that supersymmetry can be anomalous in N=1 SCFTs with an anomalous R symmetry.
  • To show this anomaly is a general feature, not limited to holographic settings.
  • To investigate the implications of this anomaly for theoretical physics.

Main Methods:

  • One-loop computation in the massless superconformal Wess-Zumino model.
  • Analysis of four-point functions involving supercurrents, R currents, and energy-momentum tensors.
  • Utilizing Wess-Zumino consistency conditions.

Main Results:

  • Confirmed the presence of an anomalous supersymmetry in general N=1 SCFTs with anomalous R symmetry.
  • Demonstrated this anomaly explicitly in the massless superconformal Wess-Zumino model.
  • Identified the anomaly appearing in specific four-point correlation functions.

Conclusions:

  • The anomaly in supersymmetry is a general feature of N=1 SCFTs with anomalous R symmetry.
  • This finding extends previous results from holographic SCFTs.
  • The Wess-Zumino consistency conditions and R-symmetry anomaly necessitate this supersymmetry anomaly.