Consequences of supergravity with gauged U (1) R symmetry

The structure of gauged R- supergravity Lagrangians is reviewed, and we consider models with a hidden sector plus light fields of the MSSM. A simple potential for the hidden sector is presented which has a global minimum with zero cosmological constant and spontaneously broken SUSY and R-symmetry. The U(1) _R vector multiplet acquires a Planck scale through the Higgs mechanism, and it decouples at low energy. Due to very interesting cancellations, the U(1) _RD-terms also drop out at low energy. Thus no direct effects of the gauging of R-symmetry remain in the low-energy effective Lagrangian, and this result is model independent, requiring only that R-symmetry be broken at the Planck scale and < D> = 0, where D is the auxiliary field of the U(1) _R vector multiplet. The low-energy theory is fairly conventional with soft SUSY breaking terms for the MSSM fields. As a remnant of the gauging of R-symmetry, it also contains light fields, some required to cancel R-anomalies and others from the hidden sector.