Peccei-Quinn symmetry from dynamical supersymmetry breaking

The proximity of the Peccei-Quinn scale to the scale of supersymmetry breaking in models of pure gravity mediation hints at a common dynamical origin of these two scales. To demonstrate how to make such a connection manifest, we embed the Peccei-Quinn mechanism into the vectorlike model of dynamical supersymmetry breaking a la Izawa and Yanagida as well as Intriligator and Thomas (IYIT). Here, we rely on the anomaly-free discrete Z4R symmetry required in models of pure gravity mediation to solve the p problem to protect the Peccei-Quinn symmetry from the dangerous effect of higher-dimensional operators. This results in a rich phenomenology featuring a QCD axion with a decay constant of O(1010) GeV and mixed dark matter in the form of weakly interacting massive particles and axions. In addition, exactly five pairs of extra 5 and 5* matter multiplets, directly coupled to the supersymmetry breaking sector and with masses close to the gravitino mass, m3/2~100 TeV, are needed to cancel the Z4R anomalies.