Exact Solution of a Repulsive Fermi Model With Enhanced Superconducting   Correlations
  We present the exact solution of a model of interacting fermions in any dimension with a pure repulsive interaction projecting out a given Cooper channel. The solution rests upon the infinite ranged character of the interaction in real space, leading to a functional integral that is dominated by a Gaussian term. The solution produces strong superconducting enhancements and quasi long ranged order in a channel that is not present in the Hamiltonian explicitly, but of the form given by arguments from order by projection. 
H. R. Krishnamurthy and B. Sriram Shastry, IISc, Bangalore