Rainbow Vacua of Colored Higher Spin Gravity in Three Dimensions

We study the color-decoration of higher spin (anti)-de Sitter gravity in three dimensions. We show that the rainbow vacua, which we found recently for the colored gravity theory, also exist in the colored higher spin theory. The color singlet spin-two plays the role of metric. The difference is that when spontaneous breaking of color symmetry takes place, the Goldstone modes of massless spin-two combine with all other spins and become the maximal depth partially massless fields of the highest spin in the theory.