Correspondence between TQFT and state sum models?

Hi all categorists Here are other questions i think about and need your help with. 2> Is there a correspondence in general between TQFTs and state sum models? If not what restrictions are necessary? I think there is a correspondence but i am not sure. If it is, what is the correspondence then called? I am als interested in who discovered or proved it and in which year? Also, do anyone have references about how to actually construct the correspondence both ways? Best regards Rafael Borowiecki