A formal notion of genericity and term-by-term vanishing superpotentials at supersymmetric vacua from R-symmetric Wess-Zumino models
arXiv:2111.09570 · doi:10.1007/JHEP12(2021)199
Abstract
It is known in previous literature that if a Wess-Zumino model with an R-symmetry gives a supersymmetric vacuum, the superpotential vanishes at the vacuum. In this work, we establish a formal notion of genericity, and show that if the R-symmetric superpotential has generic coefficients, the superpotential vanishes term-by-term at a supersymmetric vacuum. This result constrains the form of the superpotential which leads to a supersymmetric vacuum. It may contribute to a refined classification of R-symmetric Wess-Zumino models, and find applications in string constructions of vacua with small superpotentials. A similar result for a scalar potential system with a scaling symmetry is discussed.
arXiv comment8 pages; v2: typos, JHEP pre-publication version
References in corpus (19)
- A Supersymmetry Primer
- Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
- Flux Compactification
- Flux compactifications in string theory: a comprehensive review
- R Symmetry Breaking Versus Supersymmetry Breaking
- Lectures on Supersymmetry Breaking
- Enumerating Flux Vacua with Enhanced Symmetries
- Vacua with Small Flux Superpotential
- Large hierarchies from approximate R symmetries
- R Symmetries in the Landscape
- A Bound on the Superpotential
- Enhanced Symmetries in Multiparameter Flux Vacua
- Low energy supersymmetry from R-symmetries
- Revisiting arithmetic solutions to the condition
- The Nelson-Seiberg theorem revised
- The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials
- A counterexample to the Nelson-Seiberg theorem
- A sufficient condition for counterexamples to the Nelson-Seiberg theorem
- W=0 Complex Structure Moduli Stabilization on CM-type K3 x K3 Orbifolds:---Arithmetic, Geometry and Particle Physics---