Gauging the R-symmetry of old-minimal $R+R^2$ supergravity

Abstract

Old-minimal $R+R^2$ supergravity has a $U(1)$ R-symmetry which rotates the chiral curvature superfield. We gauge this R-symmetry and study new interactions involving the gauge multiplet in the context of inflation and supersymmetry breaking. We construct models where supersymmetry and the R-symmetry are spontaneously broken during and after Starobinsky inflation, and one-loop gauge anomalies are cancelled by the Green--Schwarz mechanism which can also generate Standard Model gaugino masses. The hierarchy between the auxiliary fields, $⟨F⟩\gtrsim ⟨D⟩$, leads to split mass spectrum where the chiral multiplet masses are around the inflationary scale ($10^{13}$ GeV), while the gauge multiplet masses can be arbitrarily small.

arXiv comment8 pages, 1 figure (revtex 4-2). V2: corrections to numerical values of the fermion masses

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