  We construct few-body, interacting, nonlocal Hamiltonians with a quantum scar
state in an otherwise thermalizing many-body spectrum. In one dimension, the
embedded state is a critical state, and in two dimensions, the embedded state
is a chiral topologically ordered state. The models are defined on slightly
disordered lattices, and the scar state appears independent of the precise
realization of the disorder. A parameter allows the scar state to be placed at
any position in the spectrum. We show that the level spacing distributions are
Wigner-Dyson and that the entanglement entropies of the states in the middle of
the spectrum are close to the Page value. Finally, we confirm the topological
order in the scar state by showing that one can insert anyons into the state.
