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bio website member.ipmu.jp/yuji.tachikawa
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As an occupation, I'm a mathematical physicist, studying string theory and quantum field theory.

I've developed as a hobby a few Cocoa (Touch) apps. The largest one so far is spires.app, which manages articles and metadata downloaded from the arXiv eprint server, the inspire database, and the journal websites.

I'm also interested in many other things, which is why I ask questions in various StackExchange sites ...


Dec
15
comment On the Coulomb branch of N=2 supersymmetric gauge theory
There's a reason why textbooks and papers are called differently:) I say, you should just try reading a paper which interests you most, using various references. If you can, then you're ready; if you can't, then you're not.
Dec
12
comment On the Coulomb branch of N=2 supersymmetric gauge theory
Once you finish a basic QFT textbook and a SUSY textbook, just pick whatever recent paper which motivates you most, and try to understand it. The required materials are either in the review sections or in the references in the paper. Going through it line-by-line won't work, because the author didn't intend the paper to be read that way. Rather, try to work out an example which is slightly different from what's dealt in the paper. That way, you'll learn exactly which tools are necessary, which part of the paper can be improved, and once done, it might result in your paper!
Dec
11
comment On the Coulomb branch of N=2 supersymmetric gauge theory
Which topic are you referring to? Chiral rings? This paper arxiv.org/abs/hep-th/0211170 contains a nice review. In general, read and understand all papers by Seiberg or by Witten. Problem solved.
Dec
10
asked On the Coulomb branch of N=2 supersymmetric gauge theory
Nov
19
comment “finite” QFTs and short-distance singularities and vanishing beta functions
@Anirbit , even in free field theory there's a loop integral which diverges: i.e. a one-loop diagram without any vertex. This corresponds to the zero-point energy of free oscillators, which makes the partition function diverge in the UV. So, your points 1,2,3 already apply to the theory of one free boson, and are always there.
Nov
18
comment “finite” QFTs and short-distance singularities and vanishing beta functions
Please rephrase your question. Even a theory of free bosons $\phi$ has a short distance singularity in its two-point function $\langle \phi(x)\phi(y)\rangle$.
Nov
3
comment How to prove quantum N=4 Super-Yang-Mills is superconformal?
Your argument is definitely nicer :)
Oct
28
comment Miura transform for W-algebras of exceptional type
By improving the program now the expression is about ~0.9MB :)
Oct
27
comment Miura transform for W-algebras of exceptional type
Thanks, I managed to get the generators. The degree-9 one was not so bad; but the degree-12 one, when dumped to a file, has ~ 100MB as an expression. Oh Buddha.
Oct
27
answered How to prove quantum N=4 Super-Yang-Mills is superconformal?
Oct
26
comment Miura transform for W-algebras of exceptional type
Thanks everyone; I know got the generators at degree 2 and 5. Now I need those at degree 6, 8, 9 and 12 :p
Oct
26
comment Miura transform for W-algebras of exceptional type
Yes you're right. Physicists cover their lack of deep thinking by lots of explicit calculation:p I've been using that approach to find generators of W(E6), but that's still quite messy. That's why I asked the question here.
Oct
26
comment Miura transform for W-algebras of exceptional type
Thank you, but my main problem is to explicitly write down the subalgebra commuting with the screening operators. For A and D, it's done by Fateev-Zamolodchikov and Fateev-Lukyanov. Their forms are quite useful because it can be readily implemented in a computer algebra system. I just want to perform a few stupid calculation inside W-algebra of type E6, but I first need to realize it inside computer.
Oct
25
asked Miura transform for W-algebras of exceptional type
Oct
23
comment Paper listing known Seiberg-dual pairs of N=1 gauge theories
Ah, I see. Then I'll award him the bounty, but I don't accept his answer!
Oct
23
comment Paper listing known Seiberg-dual pairs of N=1 gauge theories
I agree. I think Urs deserves many points anyway through his contribution to tp.se at large, so I "accept" his answer :)
Oct
23
comment Paper listing known Seiberg-dual pairs of N=1 gauge theories
@Joe I knew that the list doesn't exist in the literature, that's why I asked here :p I learned that I should've asked this question after the tp.se community grew up more.
Oct
22
comment Paper listing known Seiberg-dual pairs of N=1 gauge theories
@Urs: That paper by Mukhopadhyay and Ray only talks about SU groups, so your characterization of it as about "non-exceptional" sounds a bit off the point to me. Also, on your ncat page, you say Seiberg duality is formalized as derived equivalences of quivers, but mathematical quivers are again only for U or SU groups... I don't understand why most of the mathematicians only care about U(N) quivers. They can easily analyze SO or Sp quivers, can't they???
Oct
22
comment Paper listing known Seiberg-dual pairs of N=1 gauge theories
Nobody has given me the definitive list as the answer. So, the bounty will be lost, too bad!
Oct
21
comment Paper listing known Seiberg-dual pairs of N=1 gauge theories
@Urs There are also Pouliot's class of Seiberg dualities, where a chiral theory is mapped to a non-chiral one: arXiv.org/abs/hep-th/9507018 etc. Can I convert my question to a community wiki, and make the answer itself as the list?