2010 Fiscal Year Final Research Report
Algebro-analytic study of quantum integrable systems
| Project/Area Number |
20340027
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Rikkyo University |
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Principal Investigator |
JIMBO Michio Rikkyo University, 理学部, 教授 (80109082)
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| Project Period (FY) |
2008 – 2010
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| Keywords | XXZ模型 / 可積分場の理論 / 共形場理論 / 相関関数 / 量子アフィン代数フェルミオン / sine-Gordon模型 |
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| Research Abstract |
In the space of local operators of quantum integrable systems, we have introduced a new fermionic basis and described their expectation values. More specifically, in the 6 vertex model we defined an action of fermions on quasi-local operators, and in a very general setting expressed their expectation values of the fermionic basis in terms of a single function of two variables. In the limit to conformal field theory we determined the relation between the fermionic and Virasoro bases for low degrees. We also proposed a novel framework for calculating the one point functions in the sine-Gordon model.
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