1,882 reputation
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bio website member.ipmu.jp/yuji.tachikawa
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visits member for 3 years, 5 months
seen Apr 17 at 9:01

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
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?
Oct
20
comment Paper listing known Seiberg-dual pairs of N=1 gauge theories
Thanks, but neither of them is complete, e.g. they don't contain duals with exceptional gauge groups ...
Oct
17
comment Scaling solutions in context of Denef - Moore
Also, the discussions of scaling solutions in the paper by Denef-Moore did not satisfy everyone (including you). This led to a few related papers, e.g. arxiv.org/abs/0807.4556 . So, when you have a very specific question in a paper, you shouldn't just ask it here... You need to think about it yourself, and then write a paper about it.
Oct
17
comment Scaling solutions in context of Denef - Moore
Yes indeed. But you need to understand that Prof. Moore is almost the most rigorous person as far as string theorists are concerned. You need to learn to relax and read what the authors meant behind what is in fact written. (Un)fortunately, string theory is not math.