| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Outline of Final Research Achievements |
We study quantum integrable systems by the vertex operator approach. We focus our attention on free field approach (bosonization) of symmetry, vertex operator, and ground state. The most outstanding result is (A) a bosonization of quantum superalgebra Uq(sl(M|N)＾) for an arbitrary level k. We also obtaion (B) integral representations of correlation functions and form factors of the XXZ chain with a triangular boundary, (C) a bosonization of ground state of quantum superalgebra Uq(gl(N|N)＾)-analogue of XXZ chain with a diagonal boundary, and (D) a direct proof of commutation relations of vertex operators for quantum superalgebra Uq(sl(M|N)＾) for level k=1.
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