Consequences of Supergravity with Gauged $\mathrm{U}(1{)}_{\mathrm{R}}$ Symmetry

Abstract

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 $\mathrm{U}(1{)}_{\mathrm{R}}$ vector multiplet acquires a Planck scale mass through the Higgs mechanism, and it decouples at low energy. Due to very interesting cancellations, the $\mathrm{U}(1{)}_{\mathrm{R}}$ 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 $\mathrm{U}(1{)}_{\mathrm{R}}$ 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.

Comments: 36 pages, plain LaTeX, all macros included, no figures