Does it die and then not restart? I had a funny problem a while back where the car would just die, it turned out it was just a loose key cylinder and heavy key chain. It took me forever to figure it out because the car would obviously fire right back up, easily, as there was really nothing wrong with it. It would just baaaarely slip into the "off" position. The solution was just to put my janitor-size key chain on a diet.
So, how much DID your supercharger cost?