Breaking higher-spin symmetry

I will present a surprisingly simple vacuum of the nonlinear higher-spin gauge theory in $d+1$ dimensions, which has leftover symmetry of the Poincare algebra in d dimensions. Its structure is very simple: the space-time geometry is that of $AdS$, while the only nonzero field is scalar. The scalar extends along the Poincare radial coordinate $z$ and contains an arbitrary mixture of its two conformal branches. The obtained vacuum breaks the global higher-spin symmetry leading to a broken phase that lives in the Minkowski space-time.