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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 my personal web on the nLab.


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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.
Feb
17
comment Poisson structure on moduli space of CFTs
Hi Squark: an action and a BV bracket, yes. That's what one needs for a phase space in this description. So it may be a different approach than what you thought of, but I think it goes exactly in the direction of answering your question. Of course this is just an incomplete story, yes. I am not sure if this has been followed up since.
Feb
16
answered Poisson structure on moduli space of CFTs
Feb
10
answered Spatial and polarizing beam splitters in a graphical calculus
Feb
8
comment String-theoretic significance of extended CFT
... If one of the two is trivial, then this is a boundary condition for the other one and makes it an open/close theory.