The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials
arXiv:2006.00538 · doi:10.1155/2020/3701943
Abstract
The Nelson-Seiberg theorem relates R-symmetries to F-term supersymmetry breaking, and provides a guiding rule for new physics model building beyond the Standard Model. A revision of the theorem gives a necessary and sufficient condition to supersymmetry breaking in models with polynomial superpotentials. This work revisits the theorem to include models with nonpolynomial superpotentials. With a generic R-symmetric superpotential, a singularity at the origin of the field space implies both R-symmetry breaking and supersymmetry breaking. We give a generalized necessary and sufficient condition for supersymmetry breaking which applies to both perturbative and nonperturbative models.
10 pages, discussions on D-terms, runaway models and existence of vacua added, Advances in High Energy Physics accepted version
References in corpus (28)
- de Sitter Vacua in String Theory
- A Supersymmetry Primer
- Lectures on supersymmetric gauge theories and electric-magnetic duality
- Dynamical SUSY Breaking in Meta-Stable Vacua
- R Symmetry Breaking Versus Supersymmetry Breaking
- Lectures on Supersymmetry Breaking
- Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity
- Dynamical Supersymmetry Breaking
- Supersymmetry Breaking, R-Symmetry Breaking and Metastable Vacua
- Spontaneous R-Symmetry Breaking in O'Raifeartaigh Models
- Notes on SUSY and R-Symmetry Breaking in Wess-Zumino Models
- Low Energy Supersymmetry From the Landscape
- Non-Perturbative Dynamics in Supersymmetric Gauge Theories
- Comments on the Fayet-Iliopoulos Term in Field Theory and Supergravity
- Implementing General Gauge Mediation
- Branches of the Landscape
- On the Inconsistency of Fayet-Iliopoulos Terms in Supergravity Theories
- R-symmetry breaking, runaway directions and global symmetries in O'Raifeartaigh models
- R Symmetries in the Landscape
- R-symmetry, supersymmetry breaking and metastable vacua in global and local supersymmetric theories
- Tree level spontaneous R-symmetry breaking in O'Raifeartaigh models
- TASI-2002 Lectures: Non-perturbative Supersymmetry
- Spontaneous R-symmetry Breaking with Multiple Pseudomoduli
- Runaway, D term and R-symmetry Breaking
- Low energy supersymmetry from R-symmetries
- The Nelson-Seiberg theorem revised
- Runaway directions in O'Raifeartaigh models
- No-go for tree-level R-symmetry breaking
Cited by in corpus (5)
- 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
- Nonexistence of supersymmetry breaking counterexamples to the Nelson-Seiberg theorem
- Novel counterexample to the Nelson-Seiberg theorem
- Gaugino masses from misaligned supersymmetry breaking and R-symmetry breaking spurions