  We derive and analyze the low-energy theory of superconductivity in carbon
nanotube ropes. A rope is modelled as an array of ballistic metallic nanotubes,
taking into account phonon-mediated plus Coulomb interactions, and Josephson
coupling between adjacent tubes. We construct the Ginzburg-Landau action
including quantum fluctuations. Quantum phase slips are shown to cause a
depression of the critical temperature $T_c$ below the mean-field value, and a
temperature-dependent resistance below $T_c$.
