Representation theoretical structure in massive integrable quantum field theories
| Project/Area Number |
20740088
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 可積分系 / qKZ方程式 / 二重アフィンヘッケ代数 / 多重ゼータ値 / 量子可積分系 / アフィン2重ヘッケ代数 |
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| Research Abstract |
We studied the rational quantum Knizhnik-Zamolodchikov (rational qKZ) equation, which is a difference equation playing an important role in the theory of massive integrable quantum field theories. We obtained special solutions and constructed a system of differential equations compatible with the rational qKZ equation by making use of representation theory of the double affine Hecke algebra. We also studied a q-analogue of the multiple zeta values and proved quadratic relations among them.
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Report
(4 results)
Research Products
(14 results)
