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I am a postdoc in mathematics, but have my degree in theoretical physics. My work is about mathematical structures motivated from quantum field theory and string theory. For more see here.


Jul
4
comment Is String Theory proven to be finite?
I have been expanding the relevant nLab entries a little more, also adding more pointers, see here: ncatlab.org/nlab/show/…
Jul
4
comment Is String Theory proven to be finite?
Mr. Graviton, this may be a shock now: also QCD perturbation theory is divergent. See for instance this Physics.SE discussion: physics.stackexchange.com/q/30105/5603 . Every sensible QFT diverges perturbatively.
Jul
4
comment Is String Theory proven to be finite?
As the next sentence says, the perturbation series of any sensible QFT has vanishing radius of convergence. So, no, this divergence of the sum is a sign that string perturbation theory is healthy, convergence here would be unrealistic. See ncatlab.org/nlab/show/…
Jul
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answered Is String Theory proven to be finite?
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Apr
19
comment fitting free QFTs into the Haag-Kastler algebraic formulation
I don't do science by counting citations, but if forced to prove a point here by pointing to the authority of citations I might point to Longo-Witten's arxiv.org/abs/1004.0616 which uses AQFT to study issues that remained with Witten's old "Some computations in background independent Open-String Field Theory".
Apr
19
comment fitting free QFTs into the Haag-Kastler algebraic formulation
Exception of what? In fact, the application of AQFT to 2d CFT has been most succesful, see ncatlab.org/nlab/show/conformal+net for references. I like to think of this as being a bit ironic: many AQFT textbooks start out being motivated by understanding 4d YM and disliking string theory, but then most hard and important results are obtained in classification of 2d CFT, and string theory has probably profited more from this effort than 4d QFT has.