The Nelson-Seiberg theorem revised
arXiv:1209.1059 · doi:10.1007/JHEP12(2013)093
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.
5 pages; v2: abstract and introduction revised; v3: condition of perturbative superpotentials added, JHEP published version
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Cited by in corpus (9)
- The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials
- A counterexample to the Nelson-Seiberg theorem
- Runaway directions in O'Raifeartaigh models
- A sufficient condition for counterexamples to the Nelson-Seiberg theorem
- A formal notion of genericity and term-by-term vanishing superpotentials at supersymmetric vacua from R-symmetric Wess-Zumino models
- Novel counterexample to the Nelson-Seiberg theorem
- Nonexistence of supersymmetry breaking counterexamples to the Nelson-Seiberg theorem
- Gaugino masses from misaligned supersymmetry breaking and R-symmetry breaking spurions
- More on renormalizable exceptions to Nelson-Seiberg theorem