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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.


Sep
24
answered Status of local gauge invariance in axiomatic quantum field theory
Sep
20
comment Do Gauge Theories (CFTs) Have Phase Transitions as the 't Hooft Coupling is Varied?
I've made it appear.
Sep
19
comment Instantons and Non Perturbative Amplitudes in Gravity
Re the first comment above asking "What is "the perturbative expansion" of gravity?". Something that's often forgotten is: there is no problem with treating gravity as an effective QFT and computing perturbative effects at relatively low energies with that. A nice review is Introduction to the Effective Field Theory Description of Gravity arxiv.org/abs/gr-qc/9512024 This is independent of your belief about the UV completion of gravity.
Sep
17
comment Kerr Geometry, Separability and Twistors
If you do follow the references given on that p. 4, you find all the details. For ingtance in [30] (arxiv.org/PS_cache/math/pdf/0204/0204322v1.pdf) around prop. 2.2 .
Sep
17
comment Kerr Geometry, Separability and Twistors
That's effectively what it says on that page 4 that I pointed to, after noticing that the sum of the Dirac operators on the two spinor factors is the Dirac-Kähler operator d + d^*.
Sep
17
answered Kerr Geometry, Separability and Twistors
Sep
16
comment Models of higher Chern-Simons type
Thanks for the comment. Let's see, maybe I mean just the 2-form part of it. I was reasoning like this, please let me know if this makes sense to you: in the abelian situation the 6d theory is supposed to contain a self-dual 2-form field. These are known (sometimes even defined this way) as the boundary theory of 7d abelian CS theory, as in hep-th/9610234. I gather the search is on for the nonabelian generalization of the self-dual 2-form theory, hence it seems we should also expect there to be a corresponding nonabelian generalization of that 7d CS theory.
Sep
16
comment Physical interpretation of different selfadjoint extensions
I hadn't been aware of the reference by Esteve. I have added it to the references of the nLab entry ncatlab.org/nlab/show/quantum+anomaly (many more references are currently still missing there, of course).
Sep
16
asked Models of higher Chern-Simons type
Sep
15
answered Physical interpretation of different selfadjoint extensions
Sep
15
comment Are possible gauge fields in a Lagrangian theory always determined by the structure of the charged degrees of freedom?
I would have given a more direct answer if I understood what you are asking for. Can you maybe try to clarify? You seem to have asked "is every gauge symmetry induced by a non-dynamical symmetry"? By the only sense that I seem to be able to make of that this phrase it is trivially true. Can you be more specific, maybe?
Sep
15
comment Are possible gauge fields in a Lagrangian theory always determined by the structure of the charged degrees of freedom?
Maybe you are asking for the fully general definition of gauge symmetries of a given local action functional? The canonical reference that discusses this at great length is Henneaux-Teitelboim ncatlab.org/nlab/show/Quantization+of+Gauge+Systems .
Sep
15
answered Can symmetry generators be used for quantization?