2024/03/11 by J. Rodney Brister, Brister, James, Longjie Ran +2
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Fractal and DNA sequence analysis #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2403.06969
openalex publication_date 2024/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate non-Abelian R-symmetries in N=1 supersymmetric theory, where fields may transform under the R-symmetry in representations with dimension higher than one. While a continuous non-Abelian R-symmetry can always be decomposed to a U(1) R-symmetry and non-R symmetries, there are non-trivial discrete non-Abelian R-symmetries that do not admit such a decomposition, and effective R-charges cannot be defined in such models. Previous results on sufficient conditions for R-symmetric supersymmetric vacua in Wess-Zumino models still hold, and do not depend on fields in representations of dimension greater than one. However, fields in higher-dimensional representations enter the sufficient conditions for supersymmetric vacua that break R-symmetry, but it is difficult to identify the independent variables which can be used to solve the F-flatness equation in this case, unless other conditions are fulfilled. We present examples with discrete non-Abelian R-symmetries of the lowest order in this case.