Superconducting Instabilities in the Large-ULimit of a Generalized Hubbard Model

We study a generalized Hubbard model in the $U=\infty$ limit with use of the slave-boson technique. The $N=\infty$ theory describes a Fermi liquid with a strongly renormalized effective mass. The $\frac{1}{N}$ 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.