English

The Nelson-Seiberg theorem revised

High Energy Physics - Theory 2014-01-03 v3 High Energy Physics - Phenomenology

Abstract

The well-accepted Nelson-Seiberg theorem relates R-symmetries to supersymmetry (SUSY) breaking vacua, and provides a guideline for SUSY model building which is the most promising physics beyond the Standard Model. In the case of Wess-Zumino models with perturbative superpotentials, we revise the theorem to a combined necessary and sufficient condition for SUSY breaking which can be easily checked before solving the vacuum. The revised theorem provides a powerful tool to construct either SUSY breaking or SUSY vacua, and offers many practicable applications in low energy SUSY model building and string phenomenology.

Keywords

Cite

@article{arxiv.1209.1059,
  title  = {The Nelson-Seiberg theorem revised},
  author = {Zhaofeng Kang and Tianjun Li and Zheng Sun},
  journal= {arXiv preprint arXiv:1209.1059},
  year   = {2014}
}

Comments

5 pages; v2: abstract and introduction revised; v3: condition of perturbative superpotentials added, JHEP published version

R2 v1 2026-06-21T22:00:24.703Z