I worked my way through this paper(adsbygoogle = window.adsbygoogle || []).push({});

http://www.math.harvard.edu/theses/senior/lee/lee.pdf

as part of a mathematics reading project and believe I have a fairly good understanding of the material. There is virtually no physics in this paper yet we seem to arrive at Dijkgraaf-Witten Theory quite naturally at the end of the paper. I find the idea, if true, that purely mathematical considerations can lead to the notion of gauge theory from physics quite amazing. I say, "if true" because other than teaching myself a little bit of QM and GR my knowledge of physics is quite limited. So my questions are, how widely accepted is Dijkgraaf-Witten Theory in the physics community? I hear it's tied to things like string theory, is that true? Dijkgraaf-Witten Theory seems to be an attempt to tie together GR and QM, is that a fair assessment?

Edit: Fixed some typos

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# A TQFT From Purely Mathematical Considerations

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