| Budget Amount *help |
¥9,100,000 (Direct Cost: ¥7,000,000、Indirect Cost: ¥2,100,000)
Fiscal Year 2014: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2013: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2012: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2011: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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| Outline of Final Research Achievements |
The main achievements are the following.(1) We identified the continuum limit of our fermionic basis in solvable lattice models with those employed previously in the enumeration of form factors, thereby establishing the fermionic picture in field theory. (2) We studied representations in “category O” of Borel subalgebras of quantum affine algebras, and classified the irreducible objets by highest weights. (3) We constructed a family of irreducible representations of quantum toroidal algebras by an elementary method. We also diagonalized the transfer matrix acting on the Fock space, and established the Bethe ansatz.
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