Vector Goldstone Boson and Lorentz Invariance
  Spontanous symmetry breaking usually gives spin 0 Goldstone bosons for the case of internal symmetries and spin 1/2 fermions for the supersymmetry. The spontaneous breaking of higher dimensional Lorentz symmetry can give vector Goldstone boson in 4-dimension. 
Ling-Fong Li, (Carnegie Mellon University)