Combinatorics and difference structure in Bethe ansatz
| Project/Area Number |
21540209
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | The University of Tokyo |
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Principal Investigator |
KUNIBA Atsuo 東京大学, 大学院・総合文化研究科, 教授 (70211886)
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| Co-Investigator(Renkei-kenkyūsha) |
YAMADA Yasuhiko 神戸大学, 理学部, 教授 (00202383)
NAKANISHI Tomoki 名古屋大学, 多元数理研究科, 准教授 (80227842)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 量子可積分系 / ベーテ仮説 / 幾何クリスタル / トロピカルR / 双線形化 / ヤン・バクスター方程式 / 量子群 / 四面体方程式 / 量子R行列 / ソリトン / 逆散乱法 / 超離散 |
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| Research Abstract |
Structure of Markov matrix of multi-species ASEP is clarified. Generalizations, and solutions of periodicity/dilogarithm conjectures for T and Y-systems among transfer matrices in quantum integrable systems. Derivation of fermionic partition function of periodic box-ball system. Solution of higher-rank periodic box-ball system. Theory of generalized energies for D-type crystals is constructed. Derivation of quantum R-matrices for spin representations from 3D integrable system.
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Report
(4 results)
Research Products
(33 results)
