  We consider transport through quantum dots with two tunneling paths.
Interference between paths gives rise to Fano resonances exhibiting Kondo-like
physics. In studying such quantum dots, we employ a generalized Anderson model
which we argue to be integrable. The exact solution is non-perturbative in the
tunneling strengths of both paths. By exploiting this integrability, we compute
the zero temperature linear response conductance of the dot and so obtain
reasonable quantitative agreement with the experimental measurements reported
in Gores et al. PRB 62, 2188 (2000).
