Abstract

Abstract As a contribution to the current efforts to understand supersymmetry-breaking by meta-stable vacua, we study general properties of supersymmetry-breaking vacua in Wess–Zumino models: we show that tree-level degeneracy is generic, explore some constraints on the couplings and present a simple model with a long-lived meta-stable vacuum, ending with some generalizations to non-renormalizable models.

Highlights

  • In the search for a natural model of dynamical supersymmetry breaking, it was suggested by Intriligator et al [1] that supersymmetry need not be broken by a stable vacuum and that the non-supersymmetric vacuum could be a longlived meta-stable vacuum, with possible but slow tunnelling towards a stable, supersymmetric vacuum

  • We first present some properties of supersymmetry-breaking vacua in renormalizable Wess-Zumino models: they are necessarily degenerate at tree level

  • 0. We shall try to find some consequences of those conditions in the form of constraints on the superpotential. In this paragraph we show that the potential is necessarily exactly degenerate at tree level

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Summary

Introduction

In the search for a natural model of dynamical supersymmetry breaking, it was suggested by Intriligator et al [1] that supersymmetry need not be broken by a stable vacuum and that the non-supersymmetric vacuum could be a longlived meta-stable vacuum, with possible but slow tunnelling towards a stable, supersymmetric vacuum. This idea has recently attracted much attention [2,4] since it gives more freedom to dynamical supersymmetry breaking, removing for instance the Witten index constraint.

Renormalizable models
Non-renormalizable generalizations
Conclusion

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