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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.


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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.
Apr
19
answered fitting free QFTs into the Haag-Kastler algebraic formulation
Feb
23
comment Discussions of the axioms of AQFT
I have added the page number. Anything else that is "wrong"? What do you find messy about the links?
Feb
22
answered Discussions of the axioms of AQFT
Feb
18
comment Poisson structure on moduli space of CFTs
Squark is right, I think. Phase space is precisely the space of classical solutions. (See the references by Witten at ncatlab.org/nlab/show/phase+space) Only in nice situations are these given by a global initial value problem that allows identification with a cotangent bundle. Non-nice situations include gauge theories and theories of gravity, and we know that the space of CFTs contains both.