I know the construction of 3D topological quantum field theory (TQFT) from a modular tensor category. I heard that we can even (mathematically) construct 4D TQFT from a modular tensor category. I would like to know how to construct it. I'd like to study it but I don't know how to search references. Is there any good word to search this 4D TQFT? Or could you suggest references? I also want to know if there is another mathematically constructed 4D TQFT and how it is called. Thank you in advance. (This question was asked in mathstack exchange but no answer was given.[here][1]) [1]: http://math.stackexchange.com/questions/258063/4d-tqft-construction-from-a-modular-tensor-category