Discrete R symmetries and low energy supersymmetry
Abstract
If nature exhibits low energy supersymmetry, discrete (nonZ_{2}) R symmetries may well play an important role. In this paper, we explore such symmetries. We generalize gaugino condensation, constructing large classes of models which are classically scale invariant, and which spontaneously break discrete R symmetries (but not supersymmetry). The order parameters for the breaking include chiral singlets. These simplify the construction of models with metastable dynamical supersymmetry breaking. We explain that in gauge mediation, the problem of the cosmological constant makes “retrofitting” particularly natural—almost imperative. We describe new classes of models, with interesting scales for supersymmetry breaking, and which allow simple solutions of the μ problem. We argue that models exhibiting such R symmetries can readily solve not only the problem of dimension four operators and proton decay, but also dimension five operators. On the other hand, in theories of “gravity mediation,” the breaking of an R symmetry is typically of order M_{p}; R parity is required to suppress dimension four B and L violating operators, and dimension five operators remain problematic.
 Publication:

Physical Review D
 Pub Date:
 September 2010
 DOI:
 10.1103/PhysRevD.82.055014
 arXiv:
 arXiv:0909.1615
 Bibcode:
 2010PhRvD..82e5014D
 Keywords:

 12.60.Jv;
 Supersymmetric models;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 17 pages, latex