Timeline for Hamiltonians which commute both as operators and as connections
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Dec 6, 2012 at 16:01 | answer | added | Austen | timeline score: 3 | |
| Dec 6, 2012 at 14:53 | answer | added | Greg Graviton | timeline score: 3 | |
| Dec 6, 2012 at 14:47 | vote | accept | David E Speyer | ||
| Dec 6, 2012 at 14:02 | answer | added | Adrien | timeline score: 3 | |
| Apr 25, 2012 at 17:18 | answer | added | Michael Renardy | timeline score: 2 | |
| Apr 25, 2012 at 15:29 | history | edited | David E Speyer | CC BY-SA 3.0 |
added 1031 characters in body; deleted 2 characters in body
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| Apr 25, 2012 at 10:41 | comment | added | Alexander Chervov | Here is reference for what I mean: arxiv.org/abs/hep-th/9402126 Quasiclassical asymptotics of solutions to the KZ equations Nicolai Reshetikhin, Alexander Varchenko. May be worth noting that if you substitute [H,H] by appropriate Poisson brackets {H,H} you get Schlesinger isomonodromy equations e.g. arxiv.org/abs/hep-th/9406078 Quantum Isomonodromic Deformations and the Knizhnik--Zamolodchikov Equations John Harnad or arxiv.org/abs/hep-th/9709207 Classical limit of the Knizhnik-Zamolodchikov-Bernard equations as hierarchy of isomonodromic deformations Levin Olshanetsky | |
| Apr 25, 2012 at 6:21 | comment | added | Alexander Chervov | I looked at the papers you mention - still I did not see explicit relation with the question you ask and what is discussed there, may be I was looking not very carefully. | |
| Apr 25, 2012 at 6:20 | comment | added | Alexander Chervov | You are welcome. I am pretty agree that there is much interesting stuff around the KZ and the Gaudin model, but still when I was working on this I did not see the way how to constuct solutions of KZ from Gaudin hamiltonians in somewhat "nice"/"explicit". Except one very strange case which we discuss at arxiv.org/abs/0711.2236 page 15 section "4.1.1 Application to the Knizhnik-Zamolodchikov equation" | |
| Apr 25, 2012 at 5:22 | comment | added | David E Speyer | Thanks! But I'm pretty sure that the interesting stuff in, for example, 1102.5368, 0910.4690 or 1004.3253 are all happening without sending $\hbar$ to $0$. | |
| Apr 25, 2012 at 5:07 | comment | added | Alexander Chervov | "Critical level" | |
| Apr 25, 2012 at 5:06 | comment | added | Alexander Chervov | Usually one considers the limit of "connections" to "h" (geometric optics or short wave asymtotics). So sections of flat con. are costructed as series where first term made of eigenvectors . Technically you put constant "k" in front of d/dt and k goes to zero so you can forget about d/dt. This is "cortical level" in KZ story. | |
| Apr 25, 2012 at 4:50 | history | asked | David E Speyer | CC BY-SA 3.0 |