Superconducting Instabilities in the Large- U Limit of a Generalized Hubbard Model

We study a generalized Hubbard model in the U=∞ limit with use of the slave-boson technique. The N=∞ theory describes a Fermi liquid with a strongly renormalized effective mass. The 1/N corrections give rise to different superconducting instabilities depending on the band structure and the filling factor. For low densities there is a p-wave instability while close to half filling in the cubic lattice we find a d-wave instability. We also calculate Fermi-liquid parameters.