Title: "Linear connections with propagating spin-3 field in gravity"
We show that Fronsdal's Lagrangian for a free massless spin-3 gauge
field in Minkowski spacetime is contained in a general Yang--Mills-like
Lagrangian of metric-affine gravity (MAG), the gauge theory of the general
affine group in the presence of a metric. Due to the geometric character of
MAG, this can best be seen by using Vasiliev's frame formalism for
higher-spin gauge fields in which the spin-3 frame is identified with the
tracefree nonmetricity one-form associated with the shear generators of
GL(n,R). Furthermore, for specific gravitational gauge models in the
framework of full nonlinear MAG, exact solutions are constructed, featuring
propagating massless and massive spin-3 fields.
Literature: P.Baekler, N.Boulanger, fwh, Phys.Rev.D, to be published