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Supersymmetric and R symmetric vacua in Wess-Zumino models

2007/08/16 by Sébastien Ray, Ray, Sébastien · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.0708.2200

arxiv created 2007/08/16 · openalex publication_date 2007/08/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the context of supersymmetric Wess-Zumino models with an R symmetry, we find some simple conditions on the R-charge content of the theory that imply the presence or absence of supersymmetric and R-symmetric vacua. The main result of this work is that the comparison between the number of R-charge 0 and R-charge 2 superfields is essential to the properties of the model as regards symmetry breaking. We also study possible exceptions to the Nelson-Seiberg theorem --finding that there are supersymmetric vacua that break R symmetry in generic models-- and the spontaneous breaking of R symmetry in supersummetry-breaking vacua, with some insight on the Coleman-Weinberg one-loop potential.

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