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Related Experiment Video

Updated: Jun 30, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 16, 2013

N=1/2 Wess-Zumino model is renormalizable.

Ruth Britto1, Bo Feng

  • 1Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA. britto@ias.edu

Physical Review Letters
|December 20, 2003
PubMed
Summary

The Wess-Zumino model is renormalizable on nonanticommutative superspace, even with higher-dimension operators. This is achieved by adding specific terms to the Lagrangian, enabling its use in string theory contexts.

Area of Science:

  • Theoretical physics
  • Quantum field theory
  • String theory

Background:

  • The Wess-Zumino model is a fundamental construct in quantum field theory.
  • Nonanticommutative superspace introduces unique challenges in theoretical frameworks.
  • Higher-dimension operators can complicate renormalizability in field theories.

Purpose of the Study:

  • To investigate the renormalizability of the Wess-Zumino model on N=1/2 nonanticommutative superspace.
  • To determine the conditions under which a dimension-6 operator (F3) can be incorporated.
  • To explore the implications for string theory with graviphoton backgrounds.

Main Methods:

  • Perturbation theory analysis to all orders.
  • Modification of the original Lagrangian by adding F and F2 terms.

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  • Examination of the non-Hermitian nature of the deformed Lagrangian.

    • Main Results:

    • The Wess-Zumino model on N=1/2 nonanticommutative superspace is shown to be renormalizable to all orders.
    • Renormalizability is achieved by including F and F2 terms alongside the dimension-6 F3 operator.
    • The non-Hermitian property of the Lagrangian is crucial for this renormalizability.

    Conclusions:

    • The inclusion of higher-dimension operators in the Wess-Zumino model on nonanticommutative superspace is compatible with renormalizability.
    • This finding supports the relevance of such deformed field theories in string theory.
    • The study provides a framework for understanding complex quantum field theories in non-trivial backgrounds.