Supersymmetry Breaking: constraint on U(1) R-charge
Pritibhajan Byakti
TL;DR
This paper investigates how complexified U(1) R-symmetry influences supersymmetry breaking and runaway directions in models, revealing the role of R-charge assignments in the stability of supersymmetric vacua.
Contribution
It introduces a novel approach using complexified R-symmetry to analyze the impact of U(1) R-charge choices on supersymmetry breaking and runaway directions.
Findings
R-charge assignments determine the presence of runaway directions.
Complexified R-symmetry constrains supersymmetry breaking conditions.
The study provides criteria for stable supersymmetric minima.
Abstract
Holomorphy of the superpotential promotes any continuous symmetry group G to a complexified symmetry group G_C of the superpotential. For U(1) symmetry this means that the superpotential is not only invariant under U(1) phase rotation but also under some scaling. We use complexified R-symmetry to study the connection between choices of U(1) R-charges and existence of runaway directions as well as supersymmetry breaking global minimum in generic and calculable models.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Particle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions