Exact solution of a repulsive Fermi model with enhanced superconducting correlations

We present the exact solution of a model of interacting fermions in any dim ension with a pure repulsive interaction projecting out a given Cooper chan nel. The solution rests upon the infinite ranged character of the interacti on in real space, leading to a functional integral that is dominated by a G aussian term. The solution produces strong superconducting enhancements and quasi-long-ranged order in a channel that is not present in the Hamiltonia n explicitly, but of the form given by arguments from order by projection.