Toward higher-spin symmetry breaking in the bulk

We present a new vacuum of the bosonic higher-spin gauge theory in d + 1 dimensions, which has leftover symmetry of the Poincare<acute accent> algebra in d dimensions. Its structure is very simple: the space-time geometry is that of anti-de Sitter space, while the only nonzero field is a scalar. The scalar extends along the Poincare<acute accent> radial coordinate z and is shown to be linearly exact for an arbitrary mixture of its two Delta = 2 and Delta = d - 2 conformal branches. The obtained vacuum breaks the global higher-spin symmetry, leading to a broken phase that lives in the Minkowski space-time.