2020/06/30 by Zhengyi Li, Zheng Sun
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Mathematical economics #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Superpotential #Supersymmetry #hep-ph #hep-th
paper · pdf · doi:10.1155/2020/3701943
published as Adv.High Energy Phys. 2020 (2020) 3701943 · 10 pages, discussions on D-terms, runaway models and existence of vacua added, Advances in High Energy Physics accepted version
arxiv created 2020/08/15 · openalex publication_date 2020/08/17 · arxiv updated 2020/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Nelson-Seiberg theorem relates <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>R</mml:mi></mml:math>-symmetries to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi>F</mml:mi></mml:math>-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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mi>R</mml:mi></mml:math>-symmetric superpotential, a singularity at the origin of the field space implies both <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mi>R</mml:mi></mml:math>-symmetry breaking and supersymmetry breaking. We give a generalized necessary and sufficient condition for supersymmetry breaking which applies to both perturbative and nonperturbative models.