The infinite unitary irreducible spinor representations of the $\mathrm{SL}\mathrm{}(3,R)\mathrm{}$ algebra of hadron excitations are embedded in a global $\mathrm{GA}\mathrm{}(4,R)\mathrm{}$ with intrinsic dilation, shear, and spin pieces in its hypermomentum current (i.e., the affine generalization of angular momentum). When gauged over a space with a local Minkowski metric, $\mathrm{GA}\mathrm{}(4,R)\mathrm{}$ reproduces the metric-affine theory of gravity, in which the intrinsic hypermomentum is coupled to the connection, and the energy-momentum to the tetrad.

• Received 31 August 1977

DOI:https://doi.org/10.1103/PhysRevD.17.428