  We describe a UV complete asymptotically fragile Lorentz-invariant theory
exhibiting superluminal signal propagation. Its low energy effective action
contains "wrong" sign higher dimensional operators. Nevertheless, the theory
gives rise to an S-matrix, which is defined at all energies. As expected for a
non-local theory, the corresponding scattering amplitudes are not exponentially
bounded on the physical sheet, but otherwise are healthy. We study some of the
physical consequences of this S-matrix.
