Nuclear physics with an effective field theory around the unitarity limit

I outline the first steps in the process of describing nuclear ground states with an expansion around two-body unitarity. At leading order, the effective field theory displays discrete scale invariance with a single dimensionful parameter, which determines all ground-state and low-lying excitation energies. Sub-leading corrections are smaller and perturbative. Results for light nuclei, large bosonic clusters at unitarity, and nuclear matter are reported.