| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Research Abstract |
Applying the infinite-dimensional symmetries of quantum integrable systems, we derive exactly various interesting physical properties of large but finite-size quantum integrable systems. For instance, through the sl (2) loop algebra, which is an infinite-dimensional Lie algebra appearing in the XXZ spn chain when q is a root of unity, we classify the Hilbert space of the super-integrable chiral Potts model and derive the eigenvectors, explicitly. Making use of the asymmetric R-matrix of the XXZ spin chain, we derived the multiple-integral representations of arbitrary correlation functions.
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