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) _R D -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.