关于Nelson-Seiberg定理可重整化反例的进一步研究
More on renormalizable exceptions to Nelson-Seiberg theorem
AI总结：
本文研究Nelson-Seiberg定理在可重整化Wess-Zumino模型中的反例，给出若干文献未涵盖的保持超对称而自发破缺R对称性的新例子，推进了此类反例的分类与条件研究。
摘要：
Nelson-Seiberg定理规定了具有一般（可能不可重整化）超势的Wess-Zumino模型中超对称自发破缺的条件：R对称性的存在是必要条件，而R对称性的自发破缺是充分条件。然而，如果仅限于一般但可重整化的理论，则存在一类Wess-Zumino模型，其真空自发破缺R对称性同时保持超对称。这类可重整化反例的分类和条件正在积极研究中。我们给出了一些文献中未涵盖的、保持超对称情况下R对称性自发破缺的新例子。
英文摘要：
The Nelson-Seiberg theorem dictates conditions for the spontaneous breaking of the supersymmetry in Wess-Zumino models with generic, possibly non-renormalizable, superpotential; the existence of the R-symmetry is necessary while the spontaneous breaking of the R-symmetry is sufficient. If we restrict ourselves to generic but renormalizable theories, however, there exist Wess-Zumino models whose vacua break the R-symmetry spontaneously while preserving the supersymmetry. The classification and conditions of such renormalizable exceptions are under active study. We give some new examples of spontaneous breaking of the R-symmetry with preserved supersymmetry that are not covered in the literature.
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