R-symmetry, supersymmetry breaking and metastable vacua in global and local supersymmetric theories

Abstract

We study N=1 global and local supersymmetric theories with a continuous global $U(1{)}_R$ symmetry as models of dynamical supersymmetry (SUSY) breaking. We introduce explicit R-symmetry breaking terms into such models, in particular a generalized O'Raifeartaigh model. Such explicit R-symmetry breaking terms can lead to a SUSY preserving minimum. We classify explicit R-symmetry breaking terms by the structure of newly appeared SUSY stationary points as a consequence of the R-breaking effect, which could make the SUSY breaking vacuum metastable. We show that the R-breaking terms are basically divided into two categories. One of them does not generate a SUSY solution, or yields SUSY solutions that disappear in the case of supergravity when we tune a parameter so that the original SUSY breaking minimum becomes a Minkowski vacuum. We also show that the general argument by Nelson and Seiberg for a dynamical SUSY breaking still holds with a local SUSY except for a certain nontrivial case, and present concrete examples of the exception.

29 pages, 1 figure

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• Building a Nest at Tree Level: Classical Metastability and Non-Trivial Vacuum Structure in Supersymmetric Field Theories
• Explicit R-Symmetry Breaking and Metastable Vacua
• Two Loop R-Symmetry Breaking
• Meta-stable SUSY Breaking Model in Supergravity
• Metastable supersymmetry breaking vacua from conformal dynamics
• Dynamical SUSY Breaking in Intersecting Brane Models
• Can Inflation Induce Supersymmetry Breaking in a Metastable Vacuum?
• Metastable vacua and geometric deformations
• The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials
• A sufficient condition for counterexamples to the Nelson-Seiberg theorem
• Intermediate Scale Inflation and Metastable Supersymmetry Breaking
• Unification of SUSY breaking and GUT breaking