Neptune has a collection of incomplete narrow rings, known as ring arcs, which should in isolation be destroyed by differential motion in a matter of months. Yet since first discovered1 by stellar occultations in 1984, they appear to have persisted2,3,4,5,6, perhaps through a gravitational resonance effect involving the satellite Galatea6,7,8. Here we report ground-based observations of the ring arcs, obtained using an adaptive optics system. Our data, and those obtained using the Hubble Space Telescope (reported in a companion paper9), indicate that the ring arcs are near, but not within the resonance with Galatea, in contrast to what is predicted by some models.