Supersymmetry and gravitational quadrupoles

We derive model independent, non-perturbative supersymmetric sum rules for the gravitational quadrupole moments of arbitrary-spin particles in any N=1 supersymmetric theory. These sum rules select a “preferred” value of h=1 where the “h-factor” is the gravitational quadrupole analog of the gyromagnetic ratio or g-factor. This value of h=1 corresponds identically to the preferred field theory value obtained by tree-level unitarity considerations. The presently derived h-factor sum rule complements and generalizes previous work on electromagnetic moments where g=2 was shown to be preferred by both supersymmetric sum rule and tree-level unitarity arguments.